During the 2003 Super Bowl, Miller Lite Beer's commercial referred to as "The Miller LiteGirls" ranked among the top three most effective advertisements aired during the SuperBowl (USA Today, December 29, 2003). The survey of advertising effectiveness, conductedby USA Today's Ad Track poll, reported separate samples by respondent age groupto learn about how the Super Bowl advertisement appealed to different age groups. Thefollowing sample data apply to the "The Miller Lite Girls" commercial.Liked theAge Group Sample Size Ad a LotUnder 30 100 4930 to 49 150 54.
a. Formulate a hypothesis test that can be used to determine whether the population proportions for the two age groups differ.
b. What is the point estimate of the difference between the two population proportions?
c. Conduct the hypothesis test and report the p-value. At a .05, what is your conclusion?
d. Discuss the appeal of the advertisements to the younger and the older age groups. Would the Miller Lite organization find the results of the USA Today Ad Track pollencouraging? Explain.