(a) We are interested in testing whether students' showwatching preferences are equal. In a random sample of 800 students, the number of students watching each show is summarized in the following table: Show The Ofce Parks & Rec Community Friends That 708 Show Perform a level a = 0.05 test to determine if students' favorite shows are evenly distributed, and state your conclusion in terms of the problem. (b) We are now interested in testing whether or not younger students and older students have the same favorite show as their best friend. In a random sample of 710 students, we obtain the following results: Same as best friend Different from best friend Younger Students Older Students Perform a test of independence at the 5% signicance level, and state your conclusion in terms of the