27% of males anticipate they will have enough money to livecomfortably in retire

Question

27% of males anticipate they will have enough money to livecomfortably in retirement while only 20% of females exress thatconfidence. If these results are based on samples of 100 men and150 women, would you consider this sufficient evidence that meanand women have different outlooks? What are the hypotheses? Find the test statistic for the difference of proportions forthis hypothesis test. 27% of males anticipate they will have enough money to livecomfortably in retirement while only 20% of females exress thatconfidence. If these results are based on samples of 100 men and150 women, would you consider this sufficient evidence that meanand women have different outlooks? What are the hypotheses? Find the test statistic for the difference of proportions forthis hypothesis test.

Explanation / Answer

Males: n1=100, p1=0.27 Females: n2=150, p2=0.2 The test hypothesis is Ho:p1=p2 Ha:p1 not equal p2 The test statistic is Z=(p1-p2)/([p1*(1-p1)/n1] + [p2*(1-p2)/n2]) =(0.27-0.2)/sqrt(0.27*(1-0.27)/100 + (0.2*0.8/150)) =1.27

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