Question

In a random sample of visitors to a famous tourist attraction, 84 of 250 men and 156 of 250 women bought souvenirs.

(a) Give a point estimate of π1 ̶ π2, the difference in population proportions of men and women who buy souvenirs.

(b) Construct a 95% confidence interval for π1 ̶ π2. Is there sufficient evidence to indicate that men and women are equally like to buy souvenirs, why?

(c) Conduct a 10% test to see if men are less likely buying souvenirs than women. Compute the p-value of the test. Are the conclusions in (b) and (c) consistent, and why?

Answer 1