In January 2011, Yahoo surveyed 2400 U.S. men. Of the men, 1224 identified themselves as the primary grocery shopper in their household.
a) Estimate the percentage of all American males who identify themselves as the primary grocery shopper. Use a 98% confidence interval being sure to check the conditions.
b) A grocery store owner believed that only 45% 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 45%. What does your confidence interval indicate? Explain.
c) What is the level of significance of this test? Explain.