Question

In one study of smokers who tried to quit smoking with nicotine patch​ therapy, 38 were...

In one study of smokers who tried to quit smoking with nicotine patch​ therapy, 38 were smoking one year after treatment and 34 were not smoking one year after the treatment. Use a 0.10 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.

A.

Upper H 0

​:

pgreater than

0.5

Upper H 1

​:

pequals

0.5

B.

Upper H 0

​:

pequals

0.5

Upper H 1

​:

pgreater than

0.5

C.

Upper H 0

​:

pequals

0.5

Upper H 1

​:

pless than

0.5

D.

Upper H 0

​:

pequals

0.5

Upper H 1

​:

pnot equals

0.5

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is

nothing

.

​(Round to two decimal places as​ needed.)

Identify the​ P-value for this hypothesis test.

The​ P-value for this hypothesis test is

nothing

.

​(Round to three decimal places as​ needed.)

Identify the conclusion for this hypothesis test.

A.

Fail to reject

Upper H 0

.

There

insufficient

evidence to warrant support of the claim that the majority are smoking one year after the treatment.

B.

Reject

Upper H 0

.

There

insufficient

evidence to warrant support of the claim that the majority are smoking one year after the treatment.

C.

Fail to reject

Upper H 0

.

There

sufficient

evidence to warrant support of the claim that the majority are smoking one year after the treatment.

D.

Reject

Upper H 0

.

There

sufficient

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

insufficient

sufficient

evidence to support the claim that the majority are smoking one year after the​ treatment, there is

insufficient

sufficient

evidence to suggest that the nicotine patch is not effective.

Option-B) H0 : p = 0.5, H1 : p > 0.5

n = 38 + 34 = 72

p^ = 38 / 72 = 0.5278

Test statistic = (p^ - p) / sqrt(p * (1 - p) / n)

= (0.5278 - 0.5) / sqrt(0.5 * 0.5 / 72)

= 0.47

P-value = P(Z > 0.47) = 0.3192

Do not reject H0, because P-value is not less than 0.1

Option-A) Fail to reject H0, 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 insufficient evidence to suggest that the nicotine patch is not effective

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