For the DOS, use the three-level depression diagnosis and dichotomized education (more than 12 years education or not) to check the association between education and depression.

(a) Test whether education and depression are associated;

(b) Compare the results of part

(a) with that from Problem 2.12.

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2.12 For the DOS, test whether education is associated with depression. To simplify the problem, we dichotomize both variables; use no and major/minor for depression di- agnosis and at most and more than 12 years education for education.