## What does it mean to reject the null hypothesis example?

After you perform a hypothesis test, there are only two possible outcomes. When your p-value is less than or equal to your significance level, you reject the null hypothesis. Your results are statistically significant. When your p-value is greater than your significance level, you fail to reject the null hypothesis.

### What is the null hypothesis for the ANOVA?

The null hypothesis in ANOVA is always that there is no difference in means. The research or alternative hypothesis is always that the means are not all equal and is usually written in words rather than in mathematical symbols.

#### How do you write a reject null hypothesis?

Set the significance level, , the probability of making a Type I error to be small — 0.01, 0.05, or 0.10. Compare the P-value to . If the P-value is less than (or equal to) , reject the null hypothesis in favor of the alternative hypothesis. If the P-value is greater than , do not reject the null hypothesis.

**How should you interpret a decision that rejects the null hypothesis?**

Interpret the decision in the context of the original claim. If the claim is the null hypothesis and H₀ is rejected, then there is enough evidence to reject the claim. If H₀ is not rejected, then there is not enough evidence to reject the claim.

**What does an ANOVA tell you?**

ANOVA stands for Analysis of Variance. It’s a statistical test that was developed by Ronald Fisher in 1918 and has been in use ever since. Put simply, ANOVA tells you if there are any statistical differences between the means of three or more independent groups.

## When the F test value is close to 1 the null hypothesis should be rejected?

If the null hypothesis is true, then the F test-statistic given above can be simplified (dramatically). This ratio of sample variances will be test statistic used. If the null hypothesis is false, then we will reject the null hypothesis that the ratio was equal to 1 and our assumption that they were equal.

### How do you know if you should accept or reject the null hypothesis?

Support or reject null hypothesis? If the P-value is less, reject the null hypothesis. If the P-value is more, keep the null hypothesis. 0.003 < 0.05, so we have enough evidence to reject the null hypothesis and accept the claim.

#### How should you interpret a decision that rejects?

**How do you know if the hypothesis is accepted?**

If the P-value is less than or equal to the significance level, we reject the null hypothesis and accept the alternative hypothesis instead. If the P-value is greater than the significance level, we say we “fail to reject” the null hypothesis.

**What does it mean to reject a null hypothesis?**

When you reject the null hypothesis, it means that you have enough evidence to say that things are “other than normal.”. When you fail to reject the null hypothesis, it means that you do not have enough evidence to say things are other than expected based on a given confidence level.

## When should the null hypothesis be rejected?

If the sample data are consistent with the null hypothesis, then do not reject the null hypothesis; if the sample data are inconsistent with the null hypothesis, then reject the null hypothesis and conclude that the alternative hypothesis is true.”

### What does ‘fail to reject’ means in a hypothesis test?

In a similar way, a failure to reject the null hypothesis in a significance test does not mean that the null hypothesis is true. It only means that the scientist was unable to provide enough evidence for the alternative hypothesis. As a result, the scientists would have reason to reject the null hypothesis.

#### What is null hypothesis notation?

The hypothesis that the restriction is indeed true is called null hypothesis, while the hypothesis that the restriction is not true (because another restriction incompatible with it is true) is called alternative hypothesis. Notation. Usually, the null hypothesis is denoted by , while the alternative hypothesis is denoted by .