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3. This year college athletes around the nation began to be able to profit from their name, image, and likeness (NIL), which had not been previously allowed by the NCAA. This includes allowing student athletes to sign endorsement deals. ,Suppose you want to estimate p, the proportion of Ohio State University students that are in favor of student athletes being able to sign endorsement deals. How many students should you randomly sample if you want the margin of error to be no more than 3% for a 95% confidence a. interval? Use the conservative approach. The polling group Morning Consult did a nationwide survey of 2200 American adults and calculated a 95% confidence interval for the true proportion of American adults who think students should be able to sign endorsement deals. Their interval was (.59,.63). Calculate a 99% confidence interval for this proportion. You do not have to check conditions for this interval. b. C. Suppose a conference commissioner plans to impose certain regulations if there is sufficient evidence that less than 30% of student athletes oppose these regulations. He takes a random sample of student athletes and conducts a hypothesis test to decide what to do. Describe a Type l and Type Il error in this context. Some schools and athletic conferences are considering imposing regulations on NIL deals.

3. This year college athletes around the nation began to be able to profit from their name, image, and likeness (NIL), which had not been previously allowed by the NCAA. This includes allowing student athletes to sign endorsement deals. ,Suppose you want to estimate p, the proportion of Ohio State University students that are in favor of student athletes being able to sign endorsement deals. How many students should you randomly sample if you want the margin of error to be no more than 3% for a 95% confidence a. interval? Use the conservative approach. The polling group Morning Consult did a nationwide survey of 2200 American adults and calculated a 95% confidence interval for the true proportion of American adults who think students should be able to sign endorsement deals. Their interval was (.59,.63). Calculate a 99% confidence interval for this proportion. You do not have to check conditions for this interval. b. C. Suppose a conference commissioner plans to impose certain regulations if there is sufficient evidence that less than 30% of student athletes oppose these regulations. He takes a random sample of student athletes and conducts a hypothesis test to decide what to do. Describe a Type l and Type Il error in this context. Some schools and athletic conferences are considering imposing regulations on NIL deals.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**3. Name, Image, Likeness and Endorsement Deals for College Athletes** This year, college athletes around the nation began to be able to profit from their name, image, and likeness (NIL), which had not been previously allowed by the NCAA. This includes allowing student-athletes to sign endorsement deals. **a. Estimating Proportion of Support among Ohio State University Students** Suppose you want to estimate \( p \), the proportion of Ohio State University students that are in favor of student athletes being able to sign endorsement deals. How many students should you randomly sample if you want the margin of error to be no more than 3% for a 95% confidence interval? Use the conservative approach. **b. Nationwide Survey on Endorsement Deals** The polling group Morning Consult conducted a nationwide survey of 2200 American adults and calculated a 95% confidence interval for the true proportion of American adults who think students should be able to sign endorsement deals. Their interval was \( (0.59, 0.63) \). Calculate a 99% confidence interval for this proportion. You do not have to check conditions for this interval. **c. Hypothesis Testing and Regulation of NIL Deals** Some schools and athletic conferences are considering imposing regulations on NIL deals. Suppose a conference commissioner plans to impose certain regulations if there is sufficient evidence that less than 30% of student athletes oppose these regulations. He takes a random sample of student athletes and conducts a hypothesis test to decide what to do. Describe a Type I and Type II error in this context.
Transcribed Image Text:**3. Name, Image, Likeness and Endorsement Deals for College Athletes** This year, college athletes around the nation began to be able to profit from their name, image, and likeness (NIL), which had not been previously allowed by the NCAA. This includes allowing student-athletes to sign endorsement deals. **a. Estimating Proportion of Support among Ohio State University Students** Suppose you want to estimate \( p \), the proportion of Ohio State University students that are in favor of student athletes being able to sign endorsement deals. How many students should you randomly sample if you want the margin of error to be no more than 3% for a 95% confidence interval? Use the conservative approach. **b. Nationwide Survey on Endorsement Deals** The polling group Morning Consult conducted a nationwide survey of 2200 American adults and calculated a 95% confidence interval for the true proportion of American adults who think students should be able to sign endorsement deals. Their interval was \( (0.59, 0.63) \). Calculate a 99% confidence interval for this proportion. You do not have to check conditions for this interval. **c. Hypothesis Testing and Regulation of NIL Deals** Some schools and athletic conferences are considering imposing regulations on NIL deals. Suppose a conference commissioner plans to impose certain regulations if there is sufficient evidence that less than 30% of student athletes oppose these regulations. He takes a random sample of student athletes and conducts a hypothesis test to decide what to do. Describe a Type I and Type II error in this context.
The commissioner’s random sample leads to a test statistic of \( z = -2.8 \) for the test mentioned in part c. He uses a significance level of \( \alpha = 0.05 \). If the true proportion of student athletes that oppose regulations is 27%, did he make the right decision or an error? Justify your answer.
Transcribed Image Text:The commissioner’s random sample leads to a test statistic of \( z = -2.8 \) for the test mentioned in part c. He uses a significance level of \( \alpha = 0.05 \). If the true proportion of student athletes that oppose regulations is 27%, did he make the right decision or an error? Justify your answer.
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