Test of Independence · Exercise 23

A manager of a sports club keeps information concerning the main sport in which members participate and their ages. To test whether there is a relationship between the age of a member and their choice of sport, 643 members of the sports club are randomly selected. Conduct a test of independence.

$$\begin{array}{ccccc}\text{Sport}& \text{18 - 25}& \text{26 - 30}& \text{31 - 40}& \text{41 and over}\\ \text{Racquetball}& \text{42}& \text{58}& \text{30}& \text{46}\\ \text{Tennis}& \text{58}& \text{76}& \text{38}& \text{65}\\ \text{Swimming}& \text{72}& \text{60}& \text{65}& \text{33}\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Business Statistics 2e · §11.4 Test of Independence · Exercise 23