(8 points) Information is given below about the treatment and health outcomes for 200 patients suffering from a disease.
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(8 points) Information is given below about the treatment and health outcomes for 200 patients suffering from a disease.
(8 points) Information is given below about the treatment and health outcomes for 200 patients suffering from a disease. Effect Treatment New Conventional Favorable 46 36 Unfavorable 52 43 a) (2 points) Calculate the expected number of people in each of the four cells of the table, under the assumption of independence between treatment and health outcome. b) (4 points) Using a = 0.05, test the hypothesis that the effect of the treatment is independent of whether a patient receives the New versus Conventional treatment. Identify the rejection and FTR regions (as inequalities, on a graph, or both), compute the test statistic, report the conclusion of the test, and interpret the conclusion in plain English. Specifically, what does the evidence indicate about whether the new treatment is comparatively superior to the conventional treatment? c) (2 points) Find the p-value of the test of part (b), using (i) a statistical table to establish bounds on the p-value, and (ii) Excel or a calculator to find the "exact" p- value.
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