1. Slot machines are the favorite game at casinos throughout theU.S. The following sample data show the number of women and numberof men who selected slot machines as their favorite game. Women MenSample size 320 250 Favorite game-slots 256 165 Test at a 5% levelof significance whether the difference between the proportion ofwomen and proportion of men who say slots is their favorite game isstatistically significant. (Please use both confidence intervalapproach and standard test statistic approach to solve theproblem)
2. In a test of the quality of two television commercials, eachcommercial was shown in a separate test area six times over aone-week period. The following week a telephone survey wasconducted to identify individuals who had seen the commercials.Those individuals were asked to state the primary message in thecommercials. The following results were recorded. Commercial ACommercial B Number who saw commercial 150 200 Number who recalledmessage 63 60 Test at a 5% level of significance whether thedifference between the recall proportions for the two populationsis statistically significant. (Please use both confidence intervalapproach and standard test statistic approach to solve theproblem)