Homogeneity of Proportions Test In Exercises 2326, use the following information

Chapter 10, Problem 24

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Homogeneity of Proportions Test In Exercises 2326, use the following information. Another chi-square test that involves a contingency table is the homogeneity of proportions test. This test is used to determine whether several proportions are equal when samples are taken from different populations. Before the populations are sampled and the contingency table is made, the sample sizes are determined. After randomly sampling different populations, you can test whether the proportion of elements in a category is the same for each population using the same guidelines as the a chi-square independence test. The null and alternative hypotheses are always some variation of these statements. H0: The proportions are equal. Ha: At least one of the proportions is different from the others. Performing a homogeneity of proportions test requires that the observed frequencies be obtained using a random sample, and each expected frequency must be greater than or equal to 64 Obsessive-Compulsive Disorder The contingency table shows the results ofa random sample of patients with obsessive-compulsive disorder after beingtreated with a drug or with a placebo. At a = 0.10, perform a homogeneityof proportions test on the claim that the proportions of the results fordrug and placebo treatments are the same. (Adapted from The Journal of theAmerican Medical Association)TreatmentResult Drug PlaceboImprovement 39 25No change 54 70