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A particular state university system has seven campuses. On each campus, a random sample of students...

A particular state university system has seven campuses. On each campus, a random sample of students will be selected, and each student will be categorized with respect to political philosophy as liberal, moderate, or conservative. The null hypothesis of interest is that the proportion of students falling in these three categories is the same at all 7 campuses.

(a) On how many degrees of freedom will the resulting χ2 test be based?

(b) How does the answer in part (a) change if there are 9 campuses rather than 7?

(c) How does the answer in part (a) change if there are 5 rather than 3 categories for political philosophy?


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The degree of freedom depends upon the number of factors .

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