Suppose that students majoring in the natural sciences, social sciences, and humanities were asked whether they were in favor of having greater student participation in academic decisions at their college. The data from the survey appear in the following table.

a. Compute the two-way chi-square test for these data. Can you reject the null hypothesis that students' attitudes on this question are not at all related to their academic areas? What critical value did you use to make your decision?

b. Calculate the appropriate measure for the strength of relationship between the two variables, regardless of your decision in part (a). How strong does the relationship appear to be?

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Natural sciences Social sciences Humanities In favor 18 16 Neutral 8 30 Against 19 18