According to the most recent study conducted by the U.S. Bureau of Labor Statistics, 28.1% of female spouses outearn their male counterparts (source: “Highlights of women’s earnings in 2014,” BLS Reports, Report 1058,

November 2015). The file titled Gendergap contains the incomes of 150 married couples in Utah.

a. Determine the number of families in which the female outearns her husband.

b. Calculate the expected number of female spouses who outearn their male counterparts in the sample of 150 married couples based on the Bureau of Labor Statistics study.

c. If the percent of married women in Utah who outearn their male spouses is the same as that indicated by the Bureau of Labor Statistics, determine the probability that at least the number found in part a would occur.

d. Based on your calculation in part

c, does the Bureau of Labor Statistics’ percentage seem plausible if Utah is not different from the rest of the United States?