How often do you go out dancing? This question was asked by a professional survey group on behalf of the National Arts Survey. A random sample of n1 = 95 single men showed that r1 = 23 went out dancing occasionally. Another random sample of n2 = 92 single women showed that r2 = 19 went out dancing occasionally.
(a) Do these data indicate that the proportion of single men who go out dancing occasionally is higher than the proportion of single women? Use a 5% level of significance. List the assumptions you made in solving this problem. Do you think these assumptions are realistic?
(b) Compute a 90% confidence interval for the population difference of proportions p1 − p2 of single men and single women who occasionally go out dancing.