To test the hypothesis that there is no significant difference in enrollment among different programs, we can perform an ANOVA test (Analysis of Variance). This test is suitable if we have three or more independent groups and want to compare their means to see if at least one of them is significantly different from the others.
First, we need to prepare our data for the ANOVA test. We'll extract enrollment numbers for each program type (PGD, Masters, Ph.D.) across all ownership types (Federal, State, Private). Then, we'll conduct the ANOVA test.