Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Statistical Inference

9-12

20 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

2.1

## Inference for Two-way Tables

#### Activity Overview

In this activity, students will use the chi-square test to analyze whether two categorical variables are independent or dependent. First they will calculate the expected frequencies, test statistic and critical values. Then students will use the χ2 2-way Test command to calculate the P-value.

#### Key Steps

• Students begin by thinking about relationships between categorical variables. Questions are posed based on a survey by Quinnipiac University. Discuss with students why they think the variables are independent or dependent.

• The next step is to find a test statistic to allow us to compare the observed counts with the expected counts.

• Students work with a similar claim as before except they are using male vs. female data. The data is given on page 2.2.

Students should first answer the question, based on the data alone: Do you think the two variables are independent or dependent?