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Do people think that diversity in a large population is healthy or damaging? At a particular college, responses of a randomly selected group of students found that 10 students majoring in behavioral sciences thought diversity healthy and 3 thought it damaging. In the natural sciences, 4 thought diversity healthy and 8 thought it damaging. In the arts, 18 thought diversity healthy and 7 thought it damaging. In the languages, 6 thought diversity healthy and 7 thought it damaging. Finally, in the field of history, 4 students thought diversity healthy and 9 thought it damaging.
Do these results suggest that opinions about diversity vary over different majors?
(Use the .05 significance level.)
a. Use the five steps of hypothesis testing.
b. Sketch the chi-square distribution.
c. Explain the logic of what you have done.
d. Figure a measure of effect size and indicate whether it is small, medium, or large.
e. Figure the approximate power.
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