Back to campus In 2004 ACT, Inc., reported that 74% of 1644 randomly selected college

Chapter 18, Problem 26

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Back to campus In 2004 ACT, Inc., reported that 74% of 1644 randomly selected college freshmen returned to college the next year. The study was stratified by type of collegepublic 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) Do you expect the margin of error for the overall retention rate to be larger or smaller? Explain.

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