A particular state university system has six 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 six campuses.
a. On how many degrees of freedom will the resulting X2 test be based?
b. How does your answer in Part (a) change if there are seven campuses rather than six?
c. How does your answer in Part (a) change if there are four rather than three categories for political philosophy?