What does it mean when you fail to reject the null hypothesis?
Failing to reject the null indicates that our sample did not provide sufficient evidence to conclude that the effect exists. However, at the same time, that lack of evidence doesn’t prove that the effect does not exist. Capturing all that information leads to the convoluted wording!
Does reject the null mean it is 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.
How is the ratio of likelihoods in the Neyman Pearson lemma?
The lemma tells us that, in order to be the most powerful test, the ratio of the likelihoods: should be small for sample points X inside the critical region C (“less than or equal to some constant k “) and large for sample points X outside of the critical region (“greater than or equal to some constant k “).
When do you reject the null hypothesis in statistics?
After you perform a hypothesis test, there are only two possible outcomes. When your p-valueis less than or equal to your significance level, you reject the null hypothesis. The data favors the alternative hypothesis.
When do you use the nehman Pearson lemma?
Then, we can apply the Nehman Pearson Lemma when testing the simple null hypothesis H 0: μ = 3 against the simple alternative hypothesis H A: μ = 4. The lemma tells us that, in order to be the most powerful test, the ratio of the likelihoods:
What does failing to reject the null mean?
Failing to reject the null indicates that our sample did not provide sufficient evidence to conclude that the effect exists. However, at the same time, that lack of evidence doesn’t prove that the effect does not exist. Capturing all that information leads to the convoluted wording!