Chapter 11.4, Problem 19E

To determine

To calculate the percentage of students who prefer aerobic exercise and the percentage of male students who prefer anaerobic exercise.

Answer to Problem 19E

Percentage of students who prefer aerobic exercise is $52\%$

Percentage of male students who prefer anaerobic exercise is $30\%$

Explanation of Solution

Given information :

The two-way table:

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

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

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

From this, take the joint relative value of the category or the marginal relative frequencies that have been asked.

Here, multiply the ratio with 100 in order to get the percentage.

Percentage of students who prefer aerobic exercise is $52\%$

Percentage of male students who prefer anaerobic exercise is $30\%$