Women on Wall Street can earn large salaries, but may need to make sacrifices in their personal lives. In fact, many women in the securities industry have to make significant personal sacrifices. A survey of 482 women and 356 men found that only half of the women have children, compared to three-quarters of the men surveyed.

a. What are the values of p̂₁ and p̂₂ for the women and men in this survey?

b. Find a 95% confidence interval for the difference in the proportion of women and men on Wall Street who have children.

c. What conclusions can you draw regarding the groups compared in part b?