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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