A particular state university system
has five 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 5 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 8 campuses rather than 5?
(c)
How does the answer in part (a) change if there
are 6 rather than 3 categories for political
philosophy?