Test of Independence · Exercise 21

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 recent debate about where in the U.S. skiers believe the skiing is best prompted the following survey. Test to see if the best ski area is independent of the level of the skier.

$$\begin{array}{cccc}\text{U.S. Ski Area}& \text{Beginner}& \text{Intermediate}& \text{Advanced}\\ \text{Tahoe}& \text{20}& \text{30}& \text{40}\\ \text{Utah}& \text{10}& \text{30}& \text{60}\\ \text{Colorado}& \text{10}& \text{40}& \text{50}\end{array}$$

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

OpenStax, Statistics · §11.3 Test of Independence · Exercise 21