Question: Back to campus again. The ACT, Inc., study described in Exercise 28 was actually stratified by type of college public or private. The retention rates

Back to campus again. The ACT, Inc., study described in Exercise 28 was actually stratified by type of college public or private. The retention rates were 71.9% among 505 students enrolled in public colleges and 74.9% among 1139 students enrolled in private colleges.

a) Will the 95% confidence interval for the true national retention rate in private colleges be wider or narrower than the 95% confidence interval for the retention rate in public colleges? Explain.

b) Find the 95% confidence interval for the public college retention rate.

c) Should a public college whose retention rate is 75%

proclaim that they do a better job than other public colleges of keeping freshmen in school? Explain.

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