In testing hypotheses, if the consequences of rejecting the null hypothesis are very serious, we should
A) use a very large level of significance $\alpha$.
B) use a very small level of significance $\alpha$.
C) insist that the P-value be smaller than the level of significance $\alpha$.
D) insist that the level of significance $\alpha$ be smaller than the P-value.

Question

Quizplus · Accepted Answer

Using a very small level of significance will make it harder to reject the null hypothesis, reducing the chances of mistakenly rejecting it and making a wrong decision with serious consequences.

In Testing Hypotheses, If the Consequences of Rejecting the Null α\alphaα

In Testing Hypotheses, If the Consequences of Rejecting the Null $\alpha$