Test of Independence · Exercise 25

For each problem, use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places.

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.

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

This exercise builds on another exercise in its source book, which isn't shown here.

OpenStax, Introductory Statistics 2e · §11.3 Test of Independence · Exercise 25