Question

About 77% of MCC students believe they can achieve the American dream and about 64% of Ferris State Universtiy students believe they can achieve the American dream. Construct a 99% confidence interval for the difference in the proportions of Montcalm Community College students and Ferris State University students who believe they can achieve the American dream.

There were 100 MCC students surveyed and 100 FSU students surveyed.

a. With 99% confidence the difference in the proportions of MCC and FSU students who believe they can achieve the American dream is _____________ (round to 3 decimal places) and ____________ (round to 3 decimal places).

b. If many groups of 100 randomly selected MCC students and 100 randomly selected FSU students were surveyed, then a different confidence interval would be produced from each group. About __________ percent of these confidence intervals will contain the true population proportion of the difference in the proportions of MCC students and FSU students who believe they can achieve the American dream about ___________ percent will not contain the true population difference in proportions.

Answer #1

(b)

If many groups of 100 randomly selected MCC students and 100 randomly selected FSU students were surveyed, then a different confidence interval would be produced from each group. About 99 percent of these confidence intervals will contain the true population proportion of the difference in the proportions of MCC students and FSU students who believe they can achieve the American dream about 1 percent will not contain the true population difference in proportions.

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