Exercise A random sample of 150 men found that 88 of the men exercise regularly, while a random sample of 200 women found that 130 of the women exercise regularly. a. Based on the results, construct and interpret a 95% confidence interval for the difference in the proportions of women and men who exercise regularly. b. A friend says that she believes that a higher proportion of women than men exercise regularly. Does your confidence interval support this conclusion? Explain.