What happens if we fail to reject the null hypothesis?
When we reject the null hypothesis when the null hypothesis is true. When we fail to reject the null hypothesis when the null hypothesis is false. The “reality”, or truth, about the null hypothesis is unknown and therefore we do not know if we have made the correct decision or if we committed an error.
Is rejecting the null hypothesis significant?
When the null hypothesis is rejected, the effect is said to be statistically significant. For example, in the Physicians’ Reactions case study, the probability value is 0.0057. Therefore, the effect of obesity is statistically significant and the null hypothesis that obesity makes no difference is rejected.
What is the significance of the rejection region?
A critical region, also known as the rejection region, is a set of values for the test statistic for which the null hypothesis is rejected. i.e. if the observed test statistic is in the critical region then we reject the null hypothesis and accept the alternative hypothesis.
How do you interpret a decision that fails to reject 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.
Does failing to reject the null hypothesis mean that the null hypothesis is true explain?
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.
When we failed to reject the null hypothesis which of the following statements is true?
14 Answers. Failing to reject a null hypothesis is evidence that the null hypothesis is true, but it might not be particularly good evidence, and it certainly doesn’t prove the null hypothesis.
When null hypothesis is rejected it means that a significant difference does not exist?
If there is less than a 5% chance of a result as extreme as the sample result if the null hypothesis were true, then the null hypothesis is rejected. When this happens, the result is said to be statistically significant .
When we fail to reject the null hypothesis which of the following statements is true?
Why the rejection region is important in hypothesis testing?
If the value falls in the rejection region, it means you have statistically significant results; You can reject the null hypothesis. If the p-value falls outside the rejection region, it means your results aren’t enough to throw out the null hypothesis.
What is the importance of the rejection and the acceptance region is stating a decision in a test of hypothesis?
If the sample outcome falls into the acceptance region, then the null hypothesis is accepted. If the sample outcome falls into the rejection region, then the null hypothesis is rejected (i.e. the alternative hypothesis is accepted).
Do you reject or fail to reject at the level of significance?
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. Your results are not significant.