I NEED G, H, and I answered please I NEED G, H, and I answered please 2. In a st

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I NEED G, H, and I answered please

I NEED G, H, and I answered please

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 sig nificance level to test the claim that among smokers who try to quit with nicotine patch therapy, the majority are smok- ing a year after the treatment. a. What is the null hypothesis? b. What is the alternative hypothesis? What is the value of the standard score for the sample proportion? d. What is the critical value? e. What is the P-value? f. What do you conclude? (Be sure to address the original claim that among smokers who try to quit with nico- tine patch therapy, the majority are smoking a year the treatment.) g. Describe a type I error for this test. h. Describe a type II error for this test. i. What is the P-value if the claim is modified to state that the proportion is equal to 0.5?

Explanation / Answer

In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (a "false positive"), while a type II error is incorrectly retaining a false null hypothesis

g) type i error is when we conclude that majority are smoking a year after the treatment even when it is not true .

h) type ii error is when we fail to conclude that majority are smoking a year after the treatment even though when in reality majority are smoking a year after the treatment .

i) p-value = 0.406   (it will be double of what you got in e) part.

Test of p = 0.5 vs p 0.5

Sample   X   N Sample p         95% CI         Z-Value P-Value
1       39 71 0.549296 (0.433560, 0.665032)     0.83    0.406

Using the normal approximation.

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