* 4. Suppose we take a random sample of size n of Penn State University Park students,and ask each of them if they have been to a home football game. Define Y = #of students who answer "yes", i.e. the number of University Park students whohave been to a home football game. We would like to estimate p, the proportionof all University Park students who have been to a home football game. Supposep = 0.68, where p = Y/n.(a) Suppose n = 1,678. Construct a two-sided 95% confidence interval for p, thepopulation proportion, using the first method for confidence intervals for p thatwe learned in class (on Jul 19).(b) Interpret your confidence interval from part (a).(c) Now, suppose n = 51. Construct a lower one-sided 95% confidence interval forp, the population proportion, based on the first method for confidence intervalsfor p that we learned in class (on Jul 19).(d) If n = 5 and n – Y = 2, then is the value of p, the Bayes estimator for p thatcan serve as an alternative to p for small samples?

Name: * 4. Suppose we take a random sample of size n of Penn State Universit
Uploaded: 2024-03-20T06:46:14.000Z
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Description: * 4. Suppose we take a random sample of size n of Penn State University Park students,and ask each of them if they have been to a home football game. Define Y = #of students who answer "yes", i.e. the number of University Park students whohave been t