Question

In one study of smokers who tried to quit smoking with nicotine patch​ therapy, 36 were...

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.)

Homework Answers

Answer #1

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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