Question

In one study of smokers who tried to quit smoking with nicotine patch​ therapy, 3535 were smoking one year after treatment and 3333 were not smoking one year after the treatment. Use a 0.010.01 significance level to test the claim that among smokers who try to quit with nicotine patch​ therapy, the majority are smoking one year after the treatment. Do these results suggest that the nicotine patch therapy is not​ effective? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0H0​: pequals=0.50.5 Upper H 1H1​: pgreater than>0.50.5 B. Upper H 0H0​: pequals=0.50.5 Upper H 1H1​: pnot equals≠0.50.5 C. Upper H 0H0​: pequals=0.50.5 Upper H 1H1​: pless than<0.50.5 D. Upper H 0H0​: pgreater than>0.50.5 Upper H 1H1​: pequals=0.50.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is nothing. ​(Round to two decimal places as​ needed.) Identify the​ P-value for this hypothesis test. The​ P-value for this hypothesis test is nothing. ​(Round to three decimal places as​ needed.) Identify the conclusion for this hypothesis test. A. RejectReject Upper H 0H0. There sufficientsufficient evidence to warrant support of the claim that the majority are smoking one year after the treatment. B. Fail to rejectFail to reject Upper H 0H0. There insufficientinsufficient evidence to warrant support of the claim that the majority are smoking one year after the treatment. C. Fail to rejectFail to reject Upper H 0H0. There sufficientsufficient evidence to warrant support of the claim that the majority are smoking one year after the treatment. D. RejectReject Upper H 0H0. There insufficientinsufficient evidence to warrant support of the claim that the majority are smoking one year after the treatment. Do these results suggest that the nicotine patch therapy is not​ effective? Since there is ▼ insufficient sufficient evidence to support the claim that the majority are smoking one year after the​ treatment, there is ▼ sufficient insufficient evidence to suggest that the nicotine patch is not effective. Click to select your answer(s).

Answer 1

P value :

P value > significance level 0.01

B. Fail to reject Upper H0. There insufficient evidence to warrant support of the claim that the majority are smoking one year after the treatment.

the 99% confidence interval for the population proportion is 0.359<p<0.671, 0.5147 lies between interval so it is not effective

Since there is insufficient evidence to support the claim that the majority are smoking one year after the​ treatment, there is sufficient evidence to suggest that the nicotine patch is not effective