In one study of smokers who tried to quit smoking with nicotine patch therapy. 3

Question

In one study of smokers who tried to quit smoking with nicotine patch therapy. 32 were smoking one year after the treatment, and 31 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 a year after the treatment Use this information to answer the following questions. a. Which of the following is the hypothesis test to be conducted? A. H_0 p > 0.5 H_1: p = 0.5 B. H_0 p = 0.5 H_1: p > 0.5 C. H_0 p

Explanation / Answer

(a) Option B

(b)

Data:   

n = 63

p = 0.5

p' = 0.5079365

Hypotheses:

Ho: p 0.5

Ha: p > 0.5

Decision Rule:

= 0.05

Critical z- score = 1.644853627

Reject Ho if z > 1.644853627

Test Statistic:

SE = {(p (1 - p)/n} = (0.5 * (1 - 0.5)/63) = 0.062994079

z = (p' - p)/SE = (0.507936507936508 - 0.5)/0.0629940788348712 = 0.13

(c) p- value = 0.4499

(d) Option A

(e) Option A.

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