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

Question

Quizplus · Accepted Answer

P-values based on a two-sided alternative hypothesis will always be larger than the P-value based on a one-sided alternative hypothesis on the same data because the two-sided hypothesis is testing for the possibility of a difference in either direction, whereas the one-sided hypothesis only tests for a difference in one specific direction. Therefore, the probability of observing a difference as extreme as the one observed, or more extreme, is higher in the two-sided test, leading to a larger P-value.

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