The p-value is the probability associated with the test statistic while alpha $\alpha$ is the probability associated with the critical value.

Question

Quizplus · Accepted Answer

The p-value is indeed the probability of obtaining a test statistic at least as extreme as the one observed, given that the null hypothesis is true. Alpha (α) is the predetermined significance level, representing the probability threshold below which the null hypothesis is rejected, often associated with the critical value that separates the rejection region from the non-rejection region in hypothesis testing.

The P-Value Is the Probability Associated with the Test Statistic α\alphaα

The P-Value Is the Probability Associated with the Test Statistic $\alpha$