< webwork/math170fall21 berryhill / chapter 8/14 Chapter 8: Problem 14 Previous Problem Problem List Next Problem (1 point) According to a recent marketing campaign, drinkers of either Diet Coke or Diet Pepsi participated in blind taste tests to see which of the drinks was their favorite. In one Pepsi television commercial, an anouncer states that "in recent blind taste tests, at least one half of the surveyed preferred Diet Pepsi over Diet Coke." Suppose that in one of those taste tests, 58 out of the 130 participating preferred Diet Pepsi. Test the hypothesis, using a = 0.05 that at least half of all participants will select Diet Pepsi in a blind taste (hint: take H, to be that fewer than half prefer Diet Pepsi) test by giving the following: (a) the test statistic Recall the z value that marks the start of the rejection region is the critical z score; if you're lower talled, It's the z value that has left area of a; if you're right tailed, it's the z value whose area to the right is a; if you're two-tailed, they're the values of the tz value that -z has left area of and z has a right are of... note the divided by 2 part!! (b) the critical z score The final conclusion is OA. There is not sufficient evidence to reject the null hypothesis that p = 0.5. OB. We can reject the null hypothesis that p = 0.5 and accept that p < 0.5. Note: You can eam partial credit on this problem