In a recent marathon in Boston, 24,521 men finished and 283 dropped out. Also 12,853 women finished and 152 dropped out. Use a 0.05 significance level to test the claim that the rate of those who finished is the same for men and women.
a. State the null and alternative hypothesis
b. Manually calculate the test statistic and find the critical value
c. Test the claim by constructing an appropriate confidence interval.
d. Based on the results, do men and women finish the Boston marathon at the same rate (proportion)?