In: Statistics and Probability
1. Slot machines are the favorite game at casinos throughout the U.S. The following sample data show the number of women and number of men who selected slot machines as their favorite game. Women Men Sample size 320 250 Favorite game-slots 256 165 Test at a 5% level of significance whether the difference between the proportion of women and proportion of men who say slots is their favorite game is statistically significant. (Please use both confidence interval approach and standard test statistic approach to solve the problem)
2. In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded. Commercial A Commercial B Number who saw commercial 150 200 Number who recalled message 63 60 Test at a 5% level of significance whether the difference between the recall proportions for the two populations is statistically significant. (Please use both confidence interval approach and standard test statistic approach to solve the problem)