Failing to Reject the Null Hypothesis - Statistics by Jim

In this post, learn what it means when you fail to reject the null hypothesis and why that’s the correct wording. While accepting the null hypothesis sounds more straightforward, it is not statistically correct!

When Do You Reject the Null Hypothesis? (3 Examples) - Statology

This tutorial explains when you should reject the null hypothesis in hypothesis testing, including an example.

Why Statisticians Say “Fail to Reject” Instead of “Accept the Null”

But everyday language around hypothesis testing, saying we “accept” or “reject” the null, can be misleading. This article walks you through what statisticians really mean and why the precise phrasing matters.

What 'Fail to Reject' Means in a Hypothesis Test - ThoughtCo

All it means is that the null hypothesis has not been disproven—hence the term "failure to reject." A "failure to reject" a hypothesis should not be confused with acceptance. In mathematics, negations are typically formed by simply placing the word “not” in the correct place.

What Is The Null Hypothesis & When To Reject It - Simply Psychology

We can either reject or fail to reject a null hypothesis, but never accept it. If your test fails to detect an effect, this is not proof that the effect doesn’t exist.

What Does It Mean to Reject the Null Hypothesis?

If the p-value is greater than the significance level, the conclusion is to “fail to reject” the Null Hypothesis. This outcome means the collected data did not provide sufficient evidence to overturn the assumption of the status quo.

Bewildering Things Statisticians Say: "Failure to Reject the Null ...

Fail to reject the null hypothesis (p-value > alpha) and conclude that not enough evidence is available to suggest the null is false at the 95% confidence level. In the results of a hypothesis test, we typically use the p-value to decide if the data support the null hypothesis or not.

Failing to Reject the Null Hypothesis Isn't Failure — Here's Why ...

This post explains what it means to fail to reject the null hypothesis, why it's not a mistake, and how to interpret results in context—with R code and visualization.

When Your Hypothesis Fails Do You Reject The Null

Rejecting or failing to reject the null hypothesis suggests non-significance in the results of the hypothesis test. Accepting it is inappropriate; results merely indicate retention or failure to reject.

Fail to Reject the Null Hypothesis - fiveable.me

Failing to reject the null hypothesis means that there isn't enough evidence from the sample data to conclude that a significant effect or difference exists in the population.