The p-value of a test is the smallest $\alpha$ at which the null hypothesis can be rejected.

Question

Quizplus · Accepted Answer

This statement is true. The p-value represents the probability of obtaining results at least as extreme as the observed results, assuming the null hypothesis is true. The lower the p-value, the stronger the evidence against the null hypothesis, and the higher the confidence we have in rejecting it. Therefore, the smallest p-value at which we can reject the null hypothesis is also the largest level of significance (alpha) at which we can reject it.

The P-Value of a Test Is the Smallest α\alphaα At Which the Null Hypothesis Can Be Rejected

The P-Value of a Test Is the Smallest $\alpha$ At Which the Null Hypothesis Can Be Rejected