7-1 Exercise Hypothesis Testing PDF

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Anthony Couch 7-1 Exercise: Hypothesis Testing

2. 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. a. What is the null hypothesis? The null hypothesis is H0: P ≤ 0.05 b. What is the alternative hypothesis? : H1: P c. What is the value of the standard score for the sample proportion? P^ = 0.55 d. What is the P-value? P-value = 0.1997 which is greater than the significance level of 0.05 e. What do you conclude? We reject the null hypothesis because the p value is larger than the significance level. f. Describe a type I error for this test. rejecting the true null hypothesis. So the error would be accepting that P is less than or equal to 0.5 g. Describe a type II error for this test. If we accept the null hypothesis even if we can prove it is false. For this question, if we say that the people who smoked after one year stopped smoking when they actually did not, that would be the error....