---
url: "https://questionstar.com/principles-of-survey-research/chapter-5/slide-194.html"
title: "Hypothesis Testing"
type: "lehrbuch-slide"
chapter: 5
chapterTitle: "Data Analysis: A Concise Overview of Statistical Techniques"
slide: 194
---

# Hypothesis Testing

*The χ²test statistic (chi-square) tests the statistical significance of the relationship observed in a crosstab.*

Step 3 · Choosing the appropriate test statistic

The χ² test statistic **(chi-square)** tests the statistical significance of the relationship observed in a crosstab.

H₀ There is no relationship between the variables.

χ² tests the **equality of frequency distributions** — which frequencies are we comparing?

- fe — frequencies we **would expect** in the cells if there were no relationship.
- fo — the frequencies actually **observed** .

---

*Slide 194 of 274 · Chapter 5: Data Analysis: A Concise Overview of Statistical Techniques · Principles of Survey Research · Dr. Paul Marx*