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LESSON: The Rejection Region & Types of Errors

Site: Mountain Heights Academy OER
Course: Introductory Statistics Q3
Book: LESSON: The Rejection Region & Types of Errors
Printed by: Guest user
Date: Friday, 4 April 2025, 11:54 AM

Table of contents

The Rejection Region

The Rejection Region

We will continue learning about Hypothesis Testing by discussing the "rejection region". 

Recall that in hypothesis testing, the null hypothesis is assumed to be true until we can prove otherwise. So that begs the question: How do we prove the null hypothesis is false? In other words, how do we reject the null hypothesis?

This discussion of the rejection region will help you to visualize when we will reject the null hypothesis.

Watch this video from 11:10 - 19:33 only!

Type 1 and Type 2 Errors

We will continue learning about Hypothesis Testing by discussing the two types of errors we can make. 

No matter what situation is presented in hypothesis testing, we always assume that the Null Hypothesis is true. So when you perform an actual hypothesis test, you make one of two decisions:

1. Reject the Null Hypothesis or

2. Fail to Reject the Null Hypothesis

Because your decision will be based on sample data rather than the entire population, there is always the possibility that you will make the wrong decision. In hypothesis testing, we must accept the fact that our decision may be incorrect. 

Here are the two types of errors that can be made in hypothesis testing:

Type 1 Error occurs if the null hypothesis is rejected when it is actually true.
Type 2 Error occurs if the null hypothesis is not rejected when it is actually false.


Watch this video from 19:34 - 25:27 only!

Examples

Type 1 Errors and Type 2 Errors can be hard to keep straight in hypothesis testing! In this lesson video, I'll go over two examples of describing these types of errors as well as some tips for keeping them straight and doing well on your upcoming assignment.