A large insurance company sampled male policy holders who are single and married to investigate if there is any difference in the rate at which single and married male policy holders file insurance claims. They sampled 400 single males and 76 made claims. They also sample 900 married males and 90 made claims.

a. What is the value of the pooled estimator?

b. What is the test statistic?

c. What is the p-value?

d. Using a 5% level of significance, Can you conclude the two population proportions are different?