Independent random samples of 237 African-Americans and 396 Caucasian- Americans were asked to identify their “favorite” category of television programming (“Television Types and TV Attitudes of African-Americans, Latinos, and Caucasians,” J. Advert. Res. 2008: 235–246). In the survey, 13.1% of African-Americans and 18.7% of Caucasians indicated that they prefer to watch the news more than any other category.

a. Test the hypothesis that the proportion of all people whose favorite TV viewing category is news differs between the populations of all African-Americans and Caucasians, at the α = .01 significance level.
b. Would your answer to part (a) be different if you used α .10 significance level? Explain.
c. The same survey found that 33.3% of 213 randomly selected Latinos chose the news as their favorite television program. Repeat part (a), but compare the populations of Latinos and African- Americans.