Question

In a survey of 444 HIV-positive smokers, 201 reported that they had used a nicotine patch to try to quit smoking. Can you conclude that less than half of HIV-positive smokers have used a nicotine patch? Use the α=0.01 level of significance and the P-value method with the table.

1)  State the null and alternate hypotheses.

The null hypothesis, H0, says that half of HIV-positive smokers have used a nicotine patch. Therefore we have

H0:

We are interested in knowing whether less than half of HIV-positive smokers have used a nicotine patch. Therefore, the alternate hypothesis is

H1:

right tailed,  Left tailed or two tailed?

2)  Compute the test statistic z=?

3) Compute the P-value. . Round the answer to four decimal places.

4) Determine whether to reject H0.

5) State a conclusion.

At the α=0.05  level of significance, there is or is not enough evidence to conclude that less than half of HIV-positive smokers have used a nicotine patch

Answer 1