1. Hair stylists now serve both men and women. Management Looks magazine did a survey of mid-management people to see if there is a difference in the proportion of women and men going to a hair stylist regularly. A random sample of 50 mid-management men showed that 31 went to stylists regularly while a random sample of 36 mid-management women showed that 20 went to stylists regularly. Test the claim that there is no difference in the proportion of mid-management men and women who go to hair stylists regularly. (Use a 0.05 level of significance) Solution proportion of men = 31/50 proportion of women = 20/36 phat = (31 + 20)/(50 + 36) = 51/86 test statistic = (31/50 - 20/36)/(square root of 51/86*35/86)*square root of(1/50 + 1/36) = .6001 p value = .2742 Since p value is greater than .05, you would fail to reject the null hypothesis. There is not enough evidence to support the conclusion that there is a difference..