Chapter 11.4, Problem 17E

To determine

To organize and create a two-way table.

Answer to Problem 17E

Exercise Preference
Aerobic	Anaerobic	Total
Gender	Male	0.25	0.30	0.55
Female	0.27	0.18	0.45
Total	0.52	0.48	1

Explanation of Solution

Given information :

The given data in the two-way table

On analyzing the given two-way table, and adding the joint frequencies, the total number of observations are

  $88+104+96+62=350$

Divide this value of 350 with the joint frequencies to arrive at the joint relative frequencies.

For instance, joint relative frequency of males who prefer aerobic exercise is

  $\frac{88}{350}\approx 0.25$

Add the respective rows and columns of the joint relative frequencies to arrive at the marginal relative frequencies.

The final two-way table of joint relative frequencies and marginal relative frequencies is:

Exercise Preference
Aerobic	Anaerobic	Total
Gender	Male	0.25	0.30	0.55
Female	0.27	0.18	0.45
Total	0.52	0.48	1