0.05 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?

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26. Testing Effectiveness of Nicotine Patches In one study of smokers who tried to quit
smoking with nicotine patch therapy, 39 were smoking one year after the treatment and 32
were not smoking one year after the treatment (based on data from “High-Dose Nicotine Patch
Therapy," by Dale et al., Journal of the American Medical Association, Vol. 274, No. 17). Use a
0.05 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?
Transcribed Image Text:26. Testing Effectiveness of Nicotine Patches In one study of smokers who tried to quit smoking with nicotine patch therapy, 39 were smoking one year after the treatment and 32 were not smoking one year after the treatment (based on data from “High-Dose Nicotine Patch Therapy," by Dale et al., Journal of the American Medical Association, Vol. 274, No. 17). Use a 0.05 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?
Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the
null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state
the conclusion about the null hypothesis, as well as the final conclusion that addresses the
original claim. Use the P-value method unless your instructor specifies otherwise. Use the
normal distribution as an approximation to the binomial distribution, as described in Part 1
of this section.
Transcribed Image Text:Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section.
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In one study of smokers who tried to quit smoking with nicotine patch therapy, 39 were smoking one year after the treatment and 32 were not smoking one year after the treatment

So here sample proportion of smokers who smoking one year after treatment 

= 39/71 = 0.5492 = 0.55

n = 71

Here claim Is majority (more than 50%)of smokers strat smoking one year after treatment 

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