Question

Question Help . In one study of smokers who tried to quit smoking with nicotine patch therapy, 40 were smoking one year after treatment and 32 were not smoking one year after the treatment. Use a 0.01 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. O A. Ho: p=0.5 Hyp#05 O B. Ho p=0.5 Hyp> 0.5 Oc. Họ p = 0 5 H, p<05 OD. Ho p>0.5 H, p=0.5 Identify the test statistic for this hypothesis test The test statistic for this hypothesis' test is (Round to two decimal places as needed) Identify the P-value for this hypothesis test The P-value for this hypothesis test is I (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test O A. Fail to reject Ho. There sufficient evidence to warrant support of the claim that the majority are smoking one year after the treatment OB. Fail to reject Ho. There insufficient evidence to warrant support of the claim that the majority are smoking one year after the treatment OC. Reject Ho. There sufficient evidence to warrant support of the claim that the majority are smoking one year after the treatment OD. Reject Ho. There insufficient 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 evidence to support the claim that the majority are smoking one year after the treatment, there is evidence to suggest that the nicotine patch is not effective Sufficient insufficient

Answer 1

Null and alternative Hypotheses are: B) Ho: p = 0.5 H:p> 0.5 Test statistic is: 0.5556-0.5 P- Po Z= Po(1-P) 0.5(1-0.5) 72 = 0.94 n P-value = P(Z > 0.94) = P(O<Z<0) - P(0 <Z<0.94) = 0.5-0.3264 (From normal table) = 0.1736 P-value = 0.174 (Rounded to three decimal places) Conclusion: B) Fail to reject Ho. There is insufficient evidence to warrant support of the claim that the majority are smoking one year after the treatment. - 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.