# STM1001 Topic 10: Chi-squared Tests for Categorical Data

*2022-02-01*

# Introduction

In the previous topic, we looked at hypothesis tests for ** proportions**, namely, the one and two sample test of proportions. In this topic, we will be considering another type of test that can be used to address hypotheses regarding proportions that come about by studying categorical variables: the

**. There are many different types of Chi-squared tests. In this topic, we will be looking specifically at the**

*Chi-squared test***and the**

*Chi-squared goodness of fit test***. In some ways, these tests can be considered extensions of the test of proportions we considered last week.**

*Chi-squared test of independence*