Fail To Reject Null Hypothesis. This means that if the P value is less than 005 you reject the null hypothesis. For example if the p-value 008 then we would fail to reject H0 at the significance level of α 005 since 008 005 but we would reject H0 at the significance level of α 010 since 008 010. A tire manufacturer selected a random sample of 50 tires of a particular model chosen from the past months production and used destructive testing to determine the tread life of each tire. Fail to Reject the Null Hypothesis is a confusing triple negative.
Alternately if the chance was greater than 5 5 times in 100 or more you would fail to reject the null hypothesis and would not accept the alternative hypothesis. Fail to reject the null hypothesis there is sufficient evidence that the mean REM sleep time for children is more than for adults. To get the correct wording you need to recall which hypothesis was the claim. After you perform a hypothesis test there are only two possible outcomes. Do you reject null hypothesis p-value. 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 doesnt prove the null hypothesis.
Your results are statistically significant.
As such in this example where p 03 we would reject the null hypothesis and accept the alternative hypothesis. 001 level we fail to reject the null hypothesis and conclude the data are not statistically significant. If your chi-square calculated value is greater than the chi-square critical value then you reject your null hypothesis. If it is greater than α you fail to reject H. Lets take a short detour. We reject the null hypothesis when the p-value is less than α.