To make a decision about the null hypothesis, compare the p-value to the significance level. If p-value < alpha, reject H0, otherwise do not reject H0.
Step-by-step explanation:
When determining whether to reject or fail to reject the null hypothesis (H0), at any level of significance, the decision is based on the comparison of the p-value to the significance level (alpha, α).
If the p-value is less than the significance level (α), then the decision is to reject the null hypothesis. This is because a low p-value indicates that the observed data would be very unlikely if the null hypothesis were true, providing evidence against H0 and in favor of the alternative hypothesis (Ha).
On the other hand, if the p-value is not less than the significance level, the decision is to not reject the null hypothesis. There is not enough statistical evidence to conclude that the null hypothesis is incorrect, so we retain it.