If the p-value is less than $\alpha$ in a two-tail test,
A)the null hypothesis should not be rejected.
B)the null hypothesis should be rejected.
C)a one-tail test should be used.
D)no conclusion should be reached.

Question

Quizplus · Accepted Answer

If the p-value is less than $\alpha$ in a two-tail test, the null hypothesis should be rejected. This is because the p-value represents the probability of obtaining a test statistic as extreme as or more extreme than the one observed, assuming that the null hypothesis is true. If the p-value is less than $\alpha$, then this probability is small, and we conclude that it is unlikely that the observed test statistic could have occurred if the null hypothesis were true. Therefore, we reject the null hypothesis.

If the P-Value Is Less Than α\alphaα In a Two-Tail Test, A)the Null Hypothesis Should Not Be

If the P-Value Is Less Than $\alpha$ In a Two-Tail Test,
A)the Null Hypothesis Should Not Be