The P-values based on a one-sided alternative hypothesis will always be ______ the P-value based on a two-sided alternative hypothesis on the same data.
A)larger than
B)smaller than
C)the same as

Question

Quizplus · Accepted Answer

The P-value based on a one-sided alternative hypothesis is always smaller than the P-value based on a two-sided alternative hypothesis on the same data because the one-sided test focuses on one direction of deviation, effectively concentrating the significance level on one tail of the distribution, whereas the two-sided test splits the significance level across both tails.

The P-Values Based on a One-Sided Alternative Hypothesis Will Always