In one study of smokers who tried to quit smoking with nicotine patch therapy, 36 were smoking one year after treatment and 30 were not smoking one year after the treatment. 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?
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
nothing.
(Round to two decimal places as needed.)
Let P be the true proportion of people smoking after one year of treatment.
The null and alternate hypothesis are:
H0:
Ha:
The test statistic is given by:
Since this is a right-tailed test, so the p-value is given by:
Since p-value is greater than 0.05, so we do not have sufficient evidence to reject the null hypothesis H0.
Thus, we cannot say that . So, we cannot conclude that the nicotine patch therapy is not effective.
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