Consider the variables “class level” and “college.”

a. Group the bivariate data for these two variables into a contingency table.

b. Determine the conditional distribution of class level within each college and the marginal distribution of class level.

c. Determine the conditional distribution of college within each class level and the marginal distribution of college.

d. Does an association exist between the variables “class level” and “college” for this population? Explain your answer.

Gender Class MMFFM F M M M M F F M TABLE 12.11 Gender, class level, and college for students in Introduction to Computer Science College Gender F Junior ENG ENG Soph Senior BUS Junior BUS Junior ENG Junior LIB Senior LIB Soph ENG Junior ENG Soph ENG Soph BUS Junior BUS Junior ENG LL LL F M F M M M M MMFF Class Soph Junior Junior Junior Soph Junior Soph Junior Junior Soph Senior Senior College BUS ENG LIB BUS BUS BUS ENG ENG ENG LIB ENG BUS