Large counts condition

Miriam wants to test if her 10-sided die is fair. In other words, she wants to test if some sides get rolled more often than others. She plans on recording how often each side appears in a series of rolls and carrying out a chi-squared goodness-of-fit test on the results. What is the smallest sample size Miriam can take to pass the large counts ...

The Large Counts Condition, also known as the Normal Approximation to the Binomial Distribution Verified by Proprep Tutor. Ask a tutor. If you have any additional questions, you can ask one of our experts. Ask Now.Yes, the conditions for inference are met. The teacher conducts 50 trials, which is large enough to meet the large counts condition (np ≥ 10 and n(1-p) ≥ 10). The teacher's attempt to make the number cube unfair by inserting lead weights raises the question of whether the proportion of rolls that will land on a 1 has changed. To …We would like to calculate a confidence interval for pi-p, the true difference in the proportion of members at each church that pray regularly. Which of the following conditions are met? 1. Independent random samples II. 10% condition III. Large Counts (a) I only (b) II only (c) III only (d) I and III (e) None of the conditions have been met.A reporter claims that 90% of American adults cannot name the current vice president of the United States. To investigate this claim, the reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president. The reporter would like to know if the data provide convincing evidence that fewer than 90% of American adults are unable to name the ...The Large Counts Condition is not met. All conditions for inference are met. D- All conditions for inference are met. The owner of a computer company claims that the proportion of defective computer chips produced at plant A is higher than the proportion of defective chips produced by plant B. A quality control specialist takes a random sample ...The conditions for constructing a 95% confidence interval for the proportion of red beads are met. The randomness condition is assumed to be satisfied by random selection, the 10% condition is met as the sample is likely less than 10% of the population, and the Large Counts condition is met with enough successes and failures in the sample.A WBC count is a blood test to measure the number of white blood cells (WBCs) in the blood. A WBC count is a blood test to measure the number of white blood cells (WBCs) in the blo...An absolute eosinophil count is the number of white blood cells, explains MedlinePlus. These white blood cells, called eosinophils, increase when infections, diseases and medical c...

State and check the Random, 10%, and Large Counts conditions for performing a chi-square test for goodness of fit. Perform a chi-square test for goodness of fit. Conduct a follow-up analysis when the results of a chi-square test are statistically significant. Activity: Which Color M&M is the Most Common? – Part Two2. The Large Counts Condition. When the . Large Counts condition . is met, we can use a Normal distribution to calculate the critical value z* for any confidence level. We don't know the value of . p, so we replace . p . by 𝑝 in checking the . Large Counts condition: 𝑛𝑝≥10 and 𝑛1−𝑝≥10.SELECT 1 FROM tbl WHERE fk = 1 LIMIT 5000,1 -- Let's analyze this. It will scan the index, but it will stop after 5000 rows. Of all you need is "more than 5K", that is the best way to get it. It will be consistently fast (touching only a dozen blocks), regardless of total number of rows in the table.The GOP are proposing a new health care bill that would take away pre-existing conditions coverage. Here's a list of every pre-existing condition. By clicking "TRY IT", I agree to ...Large counts-All expected counts are at least 5. Chi-Square Test for Goodness of Fit. State your hypotheses: H0: The stated distribution of the categorical variable in the population of interest is ... Random samples/randomized experiment 2.) 10% condition n<(or equal to) 1/10 N 3.) Large Counts condition where all expected counts are at least ...

Sample Size, Does it pass the large counts condition? Sample size will be 100, since that is the smallest sample that allows the expected count of 5 or higher. 3. Observed Counts (statistic) transfer - 1 (1.6) withdraw - 5 (2.5) fail - 10 (5) pass - 84 (5.55) 4. Chi Square Test Statistic $\chi ^{2} = 14.65$ 5. Test of SignificanceWhat are the conditions for constructing a confidence interval about a proportion? Click the card to flip 👆. 1. random condition. 2. !0% condition. 3. Large Counts Condition.The conditions that I have learned are as follows: If the sample size less than 15 a t-test is permissible if the sample is roughly symmetric, single peak, and has no outliers. If the sample size at least 15 a t-test can be used omitting presence of outliers or strong skewness. With a larger sample the t-test can be use even if skewed ...Both the 10% condition and the Large Counts conditions were both met. There is not enough information to calculate this. 4. Multiple Choice. Edit. 1 minute. 1 pt. The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church.1. We are asked to write with appropriate notation the Large Counts Condition for Normality The Large Counts Condition for Normality states that the number of successes and failures should be above 10 to assume normality i.e., np>10 and n (1-p)>10. Th …. The Large Counts Condition must be met so that the sampling distribution of a sample ...

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This is a random sample of 200 homes. H1 - po) = 188 2 10 (1 - 1) = 179 > 10 npo = 21 > 10 The random condition is not met. npo = 12 2 10 Name of test: Two-sample z test for p - 2 The Large Counts condition is met The 10% condition is not met.A recent experience has me wondering, do all cards count towards Amex's 4 card limit? It appears they may in certain circumstances. Increased Offer! Hilton No Annual Fee 70K + Free...Hence, the Large Counts conditions assure that the number of successes and failures is above 10 10 10 to be able to be normally distributed. So, we check the Large Counts condition to determine if the shape of the sampling distribution of p ^ \hat{p} p ^ is approximately normal.State and check the Random, 10%, and Large Counts conditions for constructing a confidence interval for a population proportion. Determine the critical value for calculating a C% confidence interval for a population proportion using a table or technology. Construct and interpret a confidence interval for a population proportion.Determine if each condition is met or not met. • Random: met 10% • Large counts What is the test statistic and P-value? Test statistic: z = P-value The analyst should VHO 1 2 3 POSSIBLE POINTS: 33.33 An emergency fund is defined as a savings account that has a balance equal to at least two months' living expenses.Please help keep Khan Academy free, for anyone, anywhere forever. Miriam wants to test if her 10 -sided die is fair. In other words, she wants to test if some sides get rolled more often than others. She plans on recording how often each side appears in a series of rolls and carrying out a 2 goodness-of-fit test on the results.

The large counts condition is that the expected value of each observed category should be at least 5. Expected values of each age group can be found by multiplying the percentage found in the 2016 study by the sample size in the sample June took.VIDEO ANSWER: Let's look into the equation. The null hypothesis H0 is equal to 0.05 and the alternate hypothesis P0 is equal to 0.05, the sample size is 250 and the number of success x is 14. The point estimate is equal to x by n which is 14 by 250.Check the following conditions: Random: The data come from a random sample from the population of interest. Large Counts: Both n p ^ n\hat{p} n p ^ and n (1 − p ^) n(1-\hat{p}) n (1 − p ^ ) are at least 10 10 10. in this case: Random: The data come from a random sample of 90 cars, so the condition is fulfilled. Large Counts:Large Counts in (a) I only (b) II only (c) 111 only (c) 1 and III (c) None of the conditions have been met. 13. An SRS of 100 flights by Speedy Airlines showed that 75 were oa time. An SRS. of 100 fiphts by Happy Airlines showed that 80 were on time. Let pa be the peoportion of on-time flights for all Speedy Airline flights, and let pu be the ...(a) Is the 10% condition met in this case? Justify your answer. (b) Is the Large Counts condition met in this case? Justify your answer. In Exercises 33 and 34, explain why you cannot use the methods of this section to find the desired probability. 33. Hispanic workers A factory employs 3000 union-ized workers, of whom 30% are Hispanic. The 15-member union executive committee contains 3 Hispanics.Check to see if the Large Counts condition is met. statistics. The Gallup Poll asked a random sample of 1785 adults whether they attended church or synagogue during the past week. Of the respondents, 44% said they did attend. Suppose that 40% of the adult population actually went to church or synagogue last week.Mabel runs a website, and she wonders how people navigate to her website. She suspects that 50% of visitors arrive from a web search, 25% arrive from links on social media, and 25% arrive directly by entering the website's address. She plans to take a random sample of visitors and record how theyO No, the randomness condition is not met. No, the Large Counts Condition is not met. heart. 1. verified. Verified answer. A student believes that a certain 6-sided number cube, with the numbers 1 to 6, is unfair and is more likely to land with a 6 facing up. The student rolls the cube 100 times and lands with 6 facing up 20 times.Large Counts Condition: The large counts condition, also known as the "success-failure" condition, is used when applying certain statistical methods to categorical data. It states that for these methods to be valid, both the number of successes and failures must be at least 10.To construct a confidence interval for p p p, check the following conditions: Random: The data come from a random sample from the population of interest. Large Counts: Both n p ^ n\hat{p} n p ^ and n (1 − p ^) n(1-\hat{p}) n (1 − p ^ ) are at least 10 10 10. Latoya interviews an SRS of the students living in the dormitory, so the condition ...The Large Counts Condition is not met. A nutritionist believes that 10% of teenagers eat cereal for breakfast. To investigate this claim, she selects a random sample of 150 teenagers and finds that 25 eat cereal for breakfast. She would like to know if the data provide convincing evidence that the true proportion of teenagers who eat cereal for ...No, the 10% condition is not met. Ratio: 'Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.' Proportion: 'A proportion is an equation in which two ratios are set equal to each other.' According to the given problem, Total number of people in the town …

The random and 10% conditions are met. Is the Large Counts condition met? Yes, the smallest expected count is 5, so all expected counts are at least 5. Yes, the smallest expected count is 8.54, so all expected counts are at least 5. No, the smallest expected count is 2.56, so the expected counts are not all at least 5.

Let pA = the true proportion of defective chips from plant A and pB = the true proportion of defective chips from plant B. Which of the following is a correct statement about the conditions for this test? A. The random condition is not met. B. The 10% condition is not met. C. The Large Counts Condition is not met. D. All conditions for ...The count function in R’s dplyr package summarises the frequency of values within a dataset. Forget manual counting; count does the heavy lifting for you. Count …Question: Conditions for a goodness-of-fit test You might need: Calculator Terrei's company sells candy in packs that are supposed to contain 50% red candies, 25% orange, and 25% yellow. He randomly selected a pack containing 16 candies and counted how many of each color were in the pack. Here are his results Color Red Orange Yellow Observed ...chicago mayor beetlejuice picture; pendleton wool fabric for sale. do seventh day adventists wear makeup; flexor digitorum superficialis exercises. david cassidy parentsIt's just the count of the rows, not the count for certain conditions. count doesn't sum True s, it only counts the number of non null values. To count the True values, you need to convert the conditions to 1 / 0 and then sum: cnt_cond(F.col('y') > 12453).alias('y_cnt'), cnt_cond(F.col('z') > 230).alias('z_cnt')Is the Large Counts condition met in this case? Justify your answer. statistics. In the United Kingdom's Lotto game, a player picks six numbers from 1 to 49 for each ticket. Rosemary bought one ticket for herself. She had the lottery computer randomly select the six numbers. When the six winning numbers were drawn, Rosemary was surprised to ...12 Multiple choice questions. A teacher has two large containers (A and B) filled with blue, red, and green beads, and claims the proportion of red beads is the same in each container. The students believe the proportions are different. Each student shakes the first container, selects 50 beads, counts the number of red beads, and returns the ...What is the purpose of checking the Large Counts condition when performing a one-sample z test for p?(a) To make sure the population is approximately Normal.(b) To make sure the sample is approximately Normal.(c) To make sure that the sampling distribution of p-hat is approximately Normal.(d) To make sure the observations are close to independent.(e) To make sure that we can generalize the ...There is a probability of 0.90 that the confidence interval (6.5, 7.5) captures the true mean number of hours of sleep that high school students get per night. The nurse can be 90% confident that the true mean number of hours of sleep that all students at her high school get per night is between 6.5 hours and 7.5 hours.

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The large counts condition makes sure that you have enough of a sample to carry out the results. This would be satisfied by making sure that np and n(1-p) are greater than or equal to 10. significance test. A ways to test the results of a survey or experiment to see if the results are meaningful. Used to also determine which type of problem is ...She would like to know if the data provide convincing evidence that the proportion of rolls that will land on a 1 is greater than one-sixth. Are the conditions for inference met? Yes, the conditions for inference are met. O No, the 10% condition is not met. O No, the Large Counts Condition is not met. O No, the randomness condition is not met.why is the large counts condition important. where is the deepest part of the alabama river; rodney starmer tool factory; excel format lbs oz; why is the large counts condition important;Incorrect. This is the Normal/Large Sample condition for a test of a mean, not a proportion. B. np n pˆˆ==50 .54 27 and 1 50 .46 23, ( ) ( )-( ) both of which are = =≥ 10 ... CR. Correct. The large counts condition for a test of significance requires the use of the null value for p, since the reasoning of the test assumes that H 0 is true ...It has to be determined whether the conditions of inference are satisfied. A) The randomness of the sample. The sample is given to be randomly selected. So, this condition is satisfied. B) The number of success and failures must be at least 10. The success rate is 0.80, and the sample size is 50. As a result, the following conditions must be met:1. Large Counts Condition: - In order to perform a chi-square goodness-of-fit test, each expected count in the contingency table should be at least 5, according to the large counts condition. - Since Miriam has a 10-sided die, there are 10 possible outcomes. - To ensure each expected count is at least 5, she needs a total of at least rolls. 2.The 10% condition is also met since the sample size (100) is less than 10% of the entire population. The large counts condition is met because both np and n(1-p) are greater than or equal to 10, where n is the sample size and p is the hypothesized proportion of players who win the game. In this case, np = 100 * 0.1 = 10 and n(1-p) = 100 * 0.9 = 90.One such assumption in statistics is the normality condition, which may apply if we are dealing with large enough samples (large counts condition). With 100 volunteers, if each group is sufficiently large, it suggests that the distribution of the outcomes should be normal by the Central Limit Theorem. Another relevant consideration is that in ...Learn how to perform a χ 2 goodness-of-fit test to check if a sample matches a population distribution. Find out the large counts condition and how to calculate the sample size for a fair 10-sided die.To do so, she selects a random sample of 100 orders from the large number of orders that were filled and determines who filled the order, Are the conditions for inference met? No, the random condition is not met. No, the 10% condition is not met. No, the Large Counts condition is not met. Yes, all of the conditions for inference are met.The Large Counts Condition. We will use the normal approximation to the. p ˆ for values of sampling distribution of n and p that satisfy np 10 and n (1 p ) 10 . 7.3 – Sample Means. Suppose that x is the mean of a sample from a large population with mean and standard deviation . ….

To construct a confidence interval for p p p, check the following conditions: Random: The data come from a random sample from the population of interest. Large Counts: Both n p ^ n\hat{p} n p ^ and n (1 − p ^) n(1-\hat{p}) n (1 − p ^ ) are at least 10 10 10. Latoya interviews an SRS of the students living in the dormitory, so the condition ...In Statistics, the two most important but difficult to understand concepts are Law of Large Numbers ( LLN) and Central Limit Theorem ( CLT ). These form the basis of the popular hypothesis testing ...The Large Counts Condition is not met. A nutritionist believes that 10% of teenagers eat cereal for breakfast. To investigate this claim, she selects a random sample of 150 teenagers and finds that 25 eat cereal for breakfast.Find step-by-step Statistics solutions and your answer to the following textbook question: Suppose a large candy machine has 45% orange candies. Imagine taking an SRS of 25 candies from the machine and observing the sample proportion $$ \hat{p} $$ of orange candies. Find the standard deviation of the sampling distribution of $$ \hat{p}. $$ Check to see if the 10% condition is met..Large Counts in (a) I only (b) II only (c) 111 only (c) 1 and III (c) None of the conditions have been met. 13. An SRS of 100 flights by Speedy Airlines showed that 75 were oa time. An SRS. of 100 fiphts by Happy Airlines showed that 80 were on time. Let pa be the peoportion of on-time flights for all Speedy Airline flights, and let pu be the ...50 (0.6)=30. Now look, we can take the number of successes/ failures to find the proportion of successes/failures in the sample: 20/50= 0.4. 0.4=p. 30/50=0.6. 0.6= 1-p. So essentially, we need to first check that the sample size is larger than 30. And if that is met, then we check if the number of successes/ failures in a sample are more than ...We can verify that a sampling distribution is normal using the Large Counts Condition, which states that we have at least 10 expected successes and 10 expected failures. In the example listed above, let's say that we were given the proportion that 70% of all teenagers pass their math class. That means that with a sample of 85, .75(85)=63.75 ...One of these conditions is the large counts condition, which states that the sample size should be large enough for the distribution of the sample proportion to be approximately normal. The large counts condition can be expressed as np ≥ 10 and n(1-p) ≥ 10 , where n is the sample size and p is the sample proportion.No, the Large Counts Condition is not met. A teacher has a large container of blue, red, and green beads. She wants her students to estimate the proportion of red beads. Each student selects 50 beads, counts the number of red beads, and returns the beads to the container. One student sample has 15 red beads. The students are asked to construct ...Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Donate; Help; Learn to edit; Community portal; Recent changes; Upload file Large counts condition, Statistics and Probability questions and answers. What is the purpose of checking the Large Counts condition when performing a one-sample z test for p? (a) To make sure the population is approximately Normal. (b) To make sure the sample is approximately Normal. (c) To make sure that the sampling distribution of p-hat is approximately Normal., No, the Large Counts Condition is not met. Confidence Interval: Basically, this is an operation which is used to measure probability that a parameter will fall between a pair of values around the mean are called as confidence interval. Given, A student believes that a certain number cube is unfair and is more likely to land with a six facing up., Random condition: met 10% condition: met Large counts condition: met Are the conditions for inference met? yes. Identify the z* critical value for constructing a confidence interval for one proportion using these confidence levels. You can reference the t distribution table to answer this question., 1. Large Counts Condition: - In order to perform a chi-square goodness-of-fit test, each expected count in the contingency table should be at least 5, according to the large counts condition. - Since Miriam has a 10-sided die, there are 10 possible outcomes. - To ensure each expected count is at least 5, she needs a total of at least rolls. 2., TI-84: Press the [STAT] key, arrow over to the [TESTS] menu, arrow down to the option [2-PropZInterval] and press the [ENTER] key. Type in the x 1, n 1, x 2, n 2, the confidence level, then press the [ENTER] key, arrow down to [Calculate] and press the [ENTER] key. The calculator returns the confidence interval., The Large Counts Condition is not met. All conditions for inference are met. d. A political pollster claims that 55% of voters prefer candidate A. To investigate this claim, a random sample of 75 voters is polled. The pollster finds that 39 of those polled prefer candidate A. He would like to know if the data provide convincing evidence that ..., In Statistics, the two most important but difficult to understand concepts are Law of Large Numbers ( LLN) and Central Limit Theorem ( CLT ). These form the basis of the popular hypothesis testing ..., Here are his results: Color Red Orange Yellow Observed counts 9 5 2 He wants to use these results to carry out a x2 goodness-of-fit test to determine if the color distribution disagrees with the target percentages. Which count(s) make this sample fail the large counts condition for this test? Choose 2 answers: A The observed count of yellow ..., D) No, the Large Counts Condition is not met. After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage. They want to construct a 99% confidence interval for the true proportion of ..., Is the Large Counts condition met in this case? Justify your answer. statistics. In the United Kingdom's Lotto game, a player picks six numbers from 1 to 49 for each ticket. Rosemary bought one ticket for herself. She had the lottery computer randomly select the six numbers. When the six winning numbers were drawn, Rosemary was surprised to ..., The large counts condition is met if both np and n(1-p) are greater than 5. In this case, with 46 students sampled and 78% living on campus, 46(0.78) and 46(1-0.78) would be put to check if they are greater than 5, which they are. One has to verify that the random condition is met, assuming the sample of 46 students was selected randomly. For ..., Question. please answer all parts. Transcribed Image Text: BFW Publishers Large Counts Condition: eggs from Farm A and 250 eggs from Farm B. The random condition is not met. Calculate the number of successes and failures in each sample. Enter these 4 values in the box below. Put a comma between each value. The order you enter them does not matter., What happens to the capture rate if the large counts condition is violated? The capture rate will almost always be less than the one advertised by the confidence level when the method is used many times. About us. About Quizlet; How Quizlet works; Careers; Advertise with us; Get the app; For students. Flashcards; Test; Learn;, the Random condition states that the data come from a random sample from the population from which a researcher tries to draw conclusions, the Large Counts condition states that n p ^ ≥ 10 n\hat{p}\ge10 n p ^ ≥ 10 and n (1 − p ^) ≥ 10. n(1-\hat{p})\ge10. n (1 − p ^ ) ≥ 10., What are the conditions for constructing a confidence interval about a proportion? Click the card to flip 👆. 1. random condition. 2. !0% condition. 3. Large Counts Condition., Large counts-All expected counts are at least 5. Chi-Square Test for Goodness of Fit. State your hypotheses: H0: The stated distribution of the categorical variable in the population of interest is ... Random samples/randomized experiment 2.) 10% condition n<(or equal to) 1/10 N 3.) Large Counts condition where all expected counts are at least ..., Check all that apply. 1.) H0: p = 0.15. 3.)The random condition is met. 4.)The 10% condition is met. 5.)The large counts condition is met. 6.)The test is a z-test for one proportion. According to a recent study, 15% of adults who take a certain medication experience side effects. To further investigate this finding, a researcher selects a ..., It has to be determined whether the conditions of inference are satisfied. A) The randomness of the sample. The sample is given to be randomly selected. So, this condition is satisfied. B) The number of success and failures must be at least 10. The success rate is 0.80, and the sample size is 50. As a result, the following conditions must be met:, 1. I have very little expertise with count outcomes and analysis of them, but I understand that, in general, they cannot be treated as continuous dependent variables for the purpose of analysis due to their "gappiness" and natural inability to take on all real values. However, I'm wondering how one treats these variables when the counts become ..., Training: COUNTIFS applies criteria to cells across multiple ranges and counts the number of times all criteria are met. SUMIFS adds the cells in a range ..., There are a lot of formulas in this Chapter. Don't memorize them. Understand them. Use the (general formula, specific formula, plug numbers in, find answer) approach. Study the Chapter 8 Formula Review and the Chapter 8 Big Ideas. Know what needs to be included for a free response question asking for a confidence interval (4-step process!), No, the 10% condition is not met. In a small town of 5,832 people, the mayor wants to determine the proportion of voters who would support an increase to the food tax. An assistant to the mayor surveys 500 randomly chosen people, and finds that 240 support the increase. ... No, the Large Counts Condition is not met. What is the z* critical ..., A. Random condition: met 10% condition: met Large Counts condition: met All conditions for inference are met. A coffee shop wants to estimate the difference in the proportion of caffeinated-coffee customers who order a large drink as compared to decaf-coffee customers who order a large. In a random sample of 500 caffeinated-coffee customers, 37 ..., Yes, the random, 10%, and large counts conditions are all met. A carnival game is designed so that approximately 10% of players will win a large prize. If there is evidence that the percentage differs significantly from this target, then adjustments will be made to the game., Here are the results: Preferred color Observed counts Black White Silver Gold 10 10 4. 9 The company wants to use these results to carry out a x? goodness-of-fit test to determine if the sample disagrees with the expected distribution. Which count(s) make this sample fail the large counts condition for this test?, Question. please answer all parts. Transcribed Image Text: BFW Publishers Large Counts Condition: eggs from Farm A and 250 eggs from Farm B. The random condition is not met. Calculate the number of successes and failures in each sample. Enter these 4 values in the box below. Put a comma between each value. The order you enter them does not matter., Chrome and Firefox: Fans of Gmail tweakers like previously mentioned Better Gmail and its Chrome counterpart, Minimalist Gmail, will love the newest addition to Gmail Labs, in whic..., Find step-by-step Statistics solutions and your answer to the following textbook question: Suppose a large candy machine has 15% orange candies. Imagine taking an SRS of 25 candies from the machine and observing the sample proportion $\hat{p}$ of orange candies. If the sample size were 75 rather than 25, how would this change the sampling …, A teacher has a large container filled with blue, red, and green beads. She wants her students to estimate the proportion of red beads. Each student shakes the container, selects 50 beads, counts the number of red beads, and returns the beads to the container. One student's sample contained 19 red beads., What are the conditions for constructing a confidence interval about a proportion? Click the card to flip 👆. 1. random condition. 2. !0% condition. 3. Large Counts Condition., The Large Counts Condition is not met. All conditions for inference are met. d. A political pollster claims that 55% of voters prefer candidate A. To investigate this claim, a random sample of 75 voters is polled. The pollster finds that 39 of those polled prefer candidate A. He would like to know if the data provide convincing evidence that ..., Jan 2, 2023 · Large Counts Condition: The large counts condition, also known as the "success-failure" condition, is used when applying certain statistical methods to categorical data. It states that for these methods to be valid, both the number of successes and failures must be at least 10., The random and 10% conditions are met. Is the Large Counts condition met? Yes, the smallest expected count is 5, so all expected counts are at least 5. Yes, the smallest expected count is 8.54, so all expected counts are at least 5. No, the smallest expected count is 2.56, so the expected counts are not all at least 5.