4. A large automobile insurance company selected samples of single and married male pol icy holders and recorded the number who made an insurance claim over the preceding threeyear period. Single Policyholders Married Policyholders n1 : 400 ng : 900 Number making claims : 76 Number making claims : 90 (a) State the hypotheses that can be used to test if the proportion of single policy holders who made an insurance claim over the preceding three-year period is signicantly different from the proportion of married policyholders who made an insurance claim over the preceding threeyear period. (b) What is the sample proportion of single policyholders who made an insurance claim over the preceding threeyear period? What is the sample proportion of married policyholders? (0) Compute the test statistic. (d) Compute the critical value at a a : 0.05 level of signicance. (e) What is your conclusion based on the critical value? (f) Compute the 95% condence interval estimate of the difference between the pop ulation proportions. Can you conclude that the two proportions are signicantly different