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The (hypothetical) data given below are based on a random sample of customers shopping at a local electronics store. The goal of the study was to determine whether students are equally likely to own an iPad than non-students. The study was conducted by asking the first 500 customers who walked into the store: (1) if they were currently full-time students (yes/no) and (2) if they own an iPad (yes/no). The following data were obtained: Full-time student Own an iPad Yes No Yes 68 112 No 44 276 (a) Based upon these data, what is the maximum likelihood estimate of the probability that a customer owns an iPad? (Note: You do not need to derive the MLE, just calculate it based on the data given.)

The (hypothetical) data given below are based on a random sample of customers shopping at a local electronics store. The goal of the study was to determine whether students are equally likely to own an iPad than non-students. The study was conducted by asking the first 500 customers who walked into the store: (1) if they were currently full-time students (yes/no) and (2) if they own an iPad (yes/no). The following data were obtained: Full-time student Own an iPad Yes No Yes 68 112 No 44 276 (a) Based upon these data, what is the maximum likelihood estimate of the probability that a customer owns an iPad? (Note: You do not need to derive the MLE, just calculate it based on the data given.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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The (hypothetical) data given below are based on a random sample of customers shopping at a local electronics store. The goal of the study was to determine whether students are equally likely to own an iPad than non-students. The study was conducted by asking the first 500 customers who walked into the store: (1) if they were currently full-time students (yes/no) and (2) if they own an iPad (yes/no). The following data were obtained: Full-time student Own an iPad Yes No Yes 68 112 No 44 276 (a) probability that a customer owns an iPad? (Note: You do not need to derive the MLE, just calculate it based on the data given.) Based upon these data, what is the maximum likelihood estimate of the (b) students vs not. Given the sampling design used to obtain these data, which one is more appropriate: a Pearson's chi-square test of independence or a Pearson's chi-square test of homogeneity? Explain. We want to test whether there is a difference in owning an iPad among full-time (c) Building upon your answer to question (b) above, what is the expected count for the number of customers who are not full-time students and own an iPad under the null hypothesis? (Note: You do not need to derive the expression for the expected count under the null hypothesis, just calculate it based on the data given.) (d) decision and conclusion? Justify your answer. The value of the Chi-squared test statistics turns out to be 38.62. What are your
Transcribed Image Text:The (hypothetical) data given below are based on a random sample of customers shopping at a local electronics store. The goal of the study was to determine whether students are equally likely to own an iPad than non-students. The study was conducted by asking the first 500 customers who walked into the store: (1) if they were currently full-time students (yes/no) and (2) if they own an iPad (yes/no). The following data were obtained: Full-time student Own an iPad Yes No Yes 68 112 No 44 276 (a) probability that a customer owns an iPad? (Note: You do not need to derive the MLE, just calculate it based on the data given.) Based upon these data, what is the maximum likelihood estimate of the (b) students vs not. Given the sampling design used to obtain these data, which one is more appropriate: a Pearson's chi-square test of independence or a Pearson's chi-square test of homogeneity? Explain. We want to test whether there is a difference in owning an iPad among full-time (c) Building upon your answer to question (b) above, what is the expected count for the number of customers who are not full-time students and own an iPad under the null hypothesis? (Note: You do not need to derive the expression for the expected count under the null hypothesis, just calculate it based on the data given.) (d) decision and conclusion? Justify your answer. The value of the Chi-squared test statistics turns out to be 38.62. What are your
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