About 70% of MCC students believe they can achieve the American dream and about 68% of Ferris State Universtiy students believe they can achieve the American dream. Construct a 95% 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 95% 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).
Ans:
95% confidence interval for difference in proportion
=(0.70-0.68)+/-1.96*sqrt((0.70*(1-0.70)/100)+(0.68*(1-0.68)/100))
=0.02+/-0.128
=(-0.108, 0.148)
About 70% of MCC students believe they can achieve the American dream and about 68% of...
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