European retail survey. In April 2019, a German retail company surveyed 2,500 European women. Of these women, 1950 identified themselves as the primary shopper in their household.

a) Estimate the percentage of all European women who identify as the primary shopper. Use a 95% confidence interval being sure to check the conditions.

b) A grocery store owner believed that at least 75% of women are the primary 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 75%.

What does your confidence interval indicate? Explain.

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