In a study of smokers who tried to quit smoking with nicotine patch therapy, 39 were smoking one year after the treatment, and 32 were not smoking one year after the treatment (based on data from “High Dose Nicotine Patch Therapy,” by Dale et al., Journal of the American Medical Association, Vol. 274, No. 17). We want to use a 0.05 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. What is the value of the standard score for the sample proportion?
In a study of smokers who tried to quit smoking with nicotine patch therapy, 39 were smoking one year after the treatment, and 32 were not smoking one year after the treatment (based on data from “High Dose Nicotine Patch Therapy,” by Dale et al., Journal of the American Medical Association, Vol. 274, No. 17). We want to use a 0.05 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.
What is the value of the standard score for the sample proportion?
In a study, 39 were smoking after the treatment and 32 were not smoking one year after the treatment. Also, the level of significance is 0.05.
The claim is that among the smokers who try to quit with nicotine patch therapy, the majority are smoking after the treatment at 5% level of significance.
The hypotheses are given below:
Null hypothesis:
H0: p=0.50.
Alternative hypothesis:
H1:p>0.50.
Since the alternative hypothesis has greater than sign, the test is right-tailed test.
The sample proportion, p-cap is .
Here, the z-test for single proportion is used.
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