5. Slot machines are the favorite game at casinos throughout the United States (Harrah's Sur- vey 2002: Profile of the American Gamble). The following sample data show the number of women and number of men who selected slot machines as their favorite game. Sample Size Favorite Game-Slots Women Men 320 250 256 165

a. What is the point estimate of the proportion of women who say slots is their favor- ite game?

b. What is the point estimate of the proportion of men who say slots is their favorite game?

c. Provide a 95% confidence interval estimate of the difference between the proportion of women and proportion of men who say slots is their favorite game.