Answer to Question #328836 in Statistics and Probability for Cleere

Question

How would we know if we are to reject the null hypothesis and accept the alternative hypothesis

Answer 1

If our statistical analysis shows that the significance level is below the cut-off value we have set (e.g., either 0.05 or 0.01), we reject the null hypothesis and accept the alternative hypothesis. Alternatively, if the significance level is above the cut-off value, we fail to reject the null hypothesis and cannot accept the alternative hypothesis. You should note that you cannot accept the null hypothesis, but only find evidence against it.