Are the patterns seen in Exercises 5 and 6 relating diet to political opinion the same for men and women? Here are two contingency tables:

Data From Exercise 5

The survey of 299 undergraduate students from Exercise 86 in Chapter 2 (data in Student Survey) asked about respondents’ diet preference (Carnivore, Omnivore, Vegetarian) and political alignment (Liberal, Moderate, Conservative). Here is a stacked bar chart of the 285 responses:

a) Describe what this plot shows using the concept of a conditional distribution.
b) Do you think the differences here are real? Explain.

Percent 100% 75% 50% 25% 0% Carnivore Omnivore Diet Vegetarian Politics Conservative Moderate Liberal