Randomly chosen college students were asked if they could touch their nose with their tongue. Six out of 53 men said yes, compared to 15 out of 56 women.
(a) Use these data to construct a 95% confidence interval (CI) for the difference in population proportions.
(b) Use your CI from part (a) to test, using α = 0.05, H0: pmen = pwomen against Ha: pmen ≠ pwomen. Do you reject H0? Why or why not?
(c) State the conclusion from your hypothesis test in part (b) in everyday language in the context of this problem.