What is rejection region?
Understand the Problem
The question is asking about the concept of rejection region in statistics, specifically in the context of hypothesis testing. The rejection region is a critical part of statistical analysis used to determine whether to reject the null hypothesis.
Answer
The range of values of a sample statistic that will lead to rejection of the null hypothesis.
The final answer is the range of values of a sample statistic that will lead to rejection of the null hypothesis.
Answer for screen readers
The final answer is the range of values of a sample statistic that will lead to rejection of the null hypothesis.
More Information
The rejection region is also referred to as the critical region. It is defined based on the significance level (alpha) chosen for a hypothesis test. If the test statistic falls within this region, it indicates that the sample provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
Tips
A common mistake is misunderstanding which direction the rejection region extends (left, right, or two-tailed) based on the nature of the alternative hypothesis.
Sources
- Rejection Region - an overview | ScienceDirect Topics - sciencedirect.com
- Rejection Region (Critical Region) for Statistical Tests - statisticshowto.com
- Rejection Region - SpringerLink - link.springer.com
