Question

In one study of smokers who tried to quit smoking with nicotine patch therapy, 38 were smoking one year after treatment and 30 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? N= 68

find t-statistic and p-value

Answer #1

Answers to questions asked:

t statistic = 0.9703

p - value = 0.1660

EXPLANATION:

H0: Null Hypothesis: P 0.5

HA: Alternative Hypothesis: P > 0.5

n = Sample Size = 68

= Sample Proportion = 38/68 = 0.5588

P = Population Proportion

Q = 1 - P = 0.5

SE =

Test statistic is:

Z = (0.5588 - 0.5)/0.0606 = **0.9703**

Table of Area Under Standard Normal Curve gives area = 0.3340

So,

p - value=0.5 - 0.3340 = **0.1660**

Since p - value= 0.1660 is greater than = 0.10, the difference is not significant. Fail to reject null hypothesis.

= 0.10

One Tail - Right Side Test

From Table, critical value of Z = 1.2816

Since the calculated value of Z = 0.9703 is critical value of Z = 1.2816, the difference is not significant. Fail to reject null hypothesis.

Conclusion:

The data do not support the claim that among smokers who try to quit with nicotine patch therapy, the majority are smoking one year after the treatment.

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therapy, 37 were smoking one year after treatment and 35 were not
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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 resukts sugest that nicotine patch therapy is
not effective

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were not smoking one year after the treatment. Use a 0.05
significance level to test the claim that among smokers who try to
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after treatment.

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patch therapy, 39 were smoking one year after treatment and 32
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
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