Problem
Are women more risk averse in the stock market? A sample of men and women were asked the following question: "If both the stock market and a stock you owned dropped 25% in three months, would you buy more shares while the price is low?" (data extracted from "Women Are More Risk Averse in the Stock Market," USA Today, September 25, 2006, p. 1C). Of 965 women, 338 said yes. Of 1,066 men, 554 said yes.
a. At the 0.05 level of significance, is there evidence that the proportion of women who would buy more shares while the price is low is less than the proportion of men?
b. Find the p-value in (a) and interpret its meaning.