[16 pts] For the following problems, decide which of the six procedures is applicable to the given situation: X2 goodness-of-fit test Linear regression t test X2 independence test One mean t-interval 1-prop z interval a. A recent study reported that in a sample of 230 European-American HIV-positive smokers, 102 of them had used a nicotine patch to try to quit smoking, and in a sample of 72 Hispanic-American HIV-positive smokers, 20 had used a nicotine patch At a 10% significance level, is there enough evidence the proportion of patch users is greater among European-Americans? b. In a clinical trial to study the effectiveness of a new pain reliever, a sample of 250 patients were given a new drug, and another sample of 100 patients were given a placebo. Of the patients given the new drug, 186 reported feeling relief, and of the patients given the placebo, 56 reported feeling relief. Construct a 95% confidence interval for the difference between the proportions feeling relief. 1 71092 The US Census Bureau computed the proportion of U.S. residents who lived in each of the four geographical regions in 2015. Then a simple random sample was drawn 1000 people living in the United States in 2018. The following table presents the results. 2015 Proportion 2018 Frequency Northeast 0.175 172 Midwest 0.212 209 South 0.236 238 West 0.377 381