A sample of teenagers is divided into male and female on the

A sample of teenagers is divided into male and female on the other hand, and those that are and are not currently dieting on the other. We want to test whether the proportion of dieting individuals among women is the same as among the men. The data looks like this:

Men

Women

Total

Dieting

2

3

5

Non-dieting

4

0

4

Total

6

3

9

What is the exact probability associated with the table?

What are three other possible tables consistent with the marginal frequencies of the table we observed?

What are the associated probabilities for each of the three tables

What is the two-sided p-value from the test?

How can you interpret the result?

Solution