Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Sampling Distributions

9-12

50 Minutes

• ##### Device
• TI-84 Plus Silver Edition
• TI-84 Plus C Silver Edition
• TI-84 Plus CE

## Chi-Squared Tests

#### Activity Overview

In this activity, students will look at a problem situation that involves categorical data and will determine which is the appropriate chi-square test to use: the chi-squared goodness of fit or the chi-squared two-way test.

#### Objectives

• Students will recognize that chi-squared tests are for counts of categorical data.
• Students will identify the appropriate chi-squared test to use for a given situation: Goodness of Fit Test, Test of Independence, or Test of Homogeneity.
• Students will learn how to calculate the degrees of freedom for each type of chi-squared test.
• Students will interpret the results of a chi-square test.
• Students will reason abstractly and quantitatively.

#### Vocabulary

•  goodness-of-fit
• categorical data
• observed counts
•  p-value
• degrees of freedom
•  test of homogeneity
• expected counts
•  test of independence