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 to the drinks was their favorite in one Pepsi television commercial, an announcer 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 a - 0.01 that more than half of all participants will select Diet Pepsi in a blind taste test by giving the following. the test statistic the critical z score the final conclusion is There is not sufficient evidence to reject the null hypothesis that p

Explanation / Answer

here p=0.5

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

phat=0.51

a) test stat =(phat-p)/std error =(0.51-0.5)/0.05=2

b) critical z score for 0.01 level =2.3263

final conclusion

option A is correct

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