Marketing and Consumer Behavior
Americans have many sources for daily news, for example, local television shows, public radio, or national newspapers. A random sample of Americans was obtained and classified by age. Each person was asked whether he or she obtained news every day from three specific sources. The data are given in the following table.
a. Conduct the appropriate hypothesis test to determine whether there is evidence that the true proportion of 18- to 29-year-olds who obtain news every day from nightly network news shows is less than the true proportion of 30- to 49-year-olds who obtain news every day from nightly network news shows. Use a = 0.05. Find the p value associated with this hypothesis test.
b. Conduct the appropriate hypothesis test to determine whether there is evidence that the true proportion of 18- to 29-year-olds who obtain news every day from cable news networks is less than the true proportion of 30- to 49-year-olds who obtain news every day from cable news networks shows. Use a = 0.01. Find the p value associated with this hypothesis test.
c. Conduct the appropriate hypothesis test to determine whether there is evidence that the true proportion of 18- to 29-year-olds who obtain news every day from the Internet is different from the true proportion of 30- to 49-year-olds who obtain news every day from the Internet. Use a = 0.005. Find the p value associated with this hypothesis test.