A company surveyed 2400 men where 1152 of the men identified themselves as the primary grocery shopper in their households.

a) Estimate the percentage of all males who identify themselves as the primary grocery shopper. Use a 98% confidence interval. Check the conditions first.

b) A grocery store owner believed that only 43% of men are the primary grocery shopper for their family, and targets his advertising accordingly. He wishes to conduct a hypothesis test to see if the fraction is in fact higher than 43%. What does your confidence interval indicate? Explain.

c) What is the level of significance of this test? Explain.