Test of Independence · Exercise 26

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 major food manufacturer is concerned that the sales for its skinny french fries have been decreasing. As a part of a feasibility study, the company conducts research into the types of fries sold across the country to determine if the type of fries sold is independent of the area of the country. The results of the study are shown in. Conduct a test of independence.

$$\begin{array}{ccccc}\text{Type of Fries}& \text{Northeast}& \text{South}& \text{Central}& \text{West}\\ \text{skinny fries}& \text{70}& \text{50}& \text{20}& \text{25}\\ \text{curly fries}& \text{100}& \text{60}& \text{15}& \text{30}\\ \text{steak fries}& \text{20}& \text{40}& \text{10}& \text{10}\end{array}$$

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 26