10.63 Marital status and life insurance Adult males participating in a poll were asked whether they were married and whether they had subscribed to a life insurance policy. Of all the respondents, 42% males said that they were married and 32.6% said that they had a life insurance policy.

a. Estimate the difference between the population proportions who were married and who had a life insurance policy.

b. In this survey, 75 respondents said they were married and did not have a life insurance policy whereas 47 respondents stated having a life insurance policy but were unmarried. Report the (i) assumptions,

(ii) hypotheses, (iii) test statistic, (iv) P-value, and

(v) conclusion for testing that the probability of being married and the probability of having a life insurance policy are the same.