In a study of 25 smokers who tried to quit smoking with nicotine patch therapy,

Question

In a study of 25 smokers who tried to quit smoking with nicotine patch therapy, 14 were smoking one year after the treatment. Use the sign test with a 0.01 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.



Identify the correct HYPOTHESES used in a hypothesis test of the claim.

a. H0: p = 0.5

H1: p < 0.5 b. H0: median = 0.5

H1: median < 0.5 c. H0: p = 0.5

H1: p > 0.5 d. H0: median = 0.5

H1: median > 0.5

Explanation / Answer

The hypothesis testing for the following should be to check the mean probability among smokers who try to quit with nicotine patch therapy, the majority are smoking a year after the treatment.

so., p>0.5 is the hypothesis under test where p is the probability among smokers who try to quit with nicotine patch therapy

So., C

The null hypothesis here is Ho: p = 0.5

and the alternative hypothesis is H1: p>0.5

is the ans

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