According to a recent marketing campaign, 100 drinkers of either Diet Coke or Di

Question

According to a recent marketing campaign, 100 drinkers of either Diet Coke or Diet Pepsi participated in a blind taste test to see which of the drinks was their favorite. In one Pepsi television commercial, an anouncer states that "in recent blind taste tests, more than one half of the surveyed preferred Diet Pepsi over Diet Coke." Suppose that out of those 100, 51 preferred Diet Pepsi. Test the hypothesis, using alpha = 0.01 that more than half of all participants will select Diet Pepsi in a blind taste test by giving the following: (a) the test statistic 2 (b) that critical z score 2.3263 The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that p lessthanorequalto 0.5 B. We can reject the null hypothesis that p lessthanorequalto 0.5 and accept that p > 0.5

Explanation / Answer

here p =0.5

hence std error =(p(1-p)/n)1/2=0.05

phat =0.51

hence test stat =(phat-p)/std errorr =(0.51-0.50)/0.05 =0.2

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