1. Suppose you are interested in investigating the factors that affect the prevalence of tuberculosis among intravenous drug users. In a group of 9? individuals who admit to sharing needles. 243% had a positive tuberculin skin test result; among 151 drug users who deny sharing needles, 1?.4% had a positive test result. The goal is to determine whether there is a significant difference in the proportion with a positive tuberculin skin test among those who admit to sharing needles versus those who deny sharing needles. a} {5 points) Is a onesample or twosample test more appropriate? Why? b} {5 points} State the null and alternative hypotheses. c] [5 points} What is the most appropriate test to use\"? Why? d} {10 points) Conduct the test and formulate a conclusion. In addition to indicating whether or not you reject the null hypothesis. also state clearlyr in words what conclusion you draw from the results. e} [5 points) When you try to publish the results, the journal asks for the 35% CI for the difference between the proportions of the two groups. What assumptions are required to compute this condence interval? fl [5 points) Compute the 95% CI for the difference between the proportions of the two groups. g} [5 points) Agroup in another city reviews your results and would like to try to replicate your findings. They have a larger sample size; they can obtain data on zoo individuals who admit to sharing needles versus EDD individuals who deny sharing needles. Compute the statistical power for the proposed study assuming that the proportions are the same as those observed in your study. Assume a two-sided alpha level of [105