If the null hypothesis is rejected at a 1% significance level, then ________.
A) the null hypothesis will be rejected at a 5% significance level
B) the alternative hypothesis will be rejected at a 5% significance level
C) the null hypothesis will not be rejected at a 5% significance level
D) the alternative hypothesis will not be rejected at a 5% significance level

Question

Quizplus · Accepted Answer

If the null hypothesis is rejected at a 1% significance level, it means the test statistic falls into the critical region that has less than a 1% chance of occurring if the null hypothesis were true. Since a 5% significance level is less stringent (allows for a larger critical region), the null hypothesis would also be rejected at this higher significance level.

If the Null Hypothesis Is Rejected at a 1% Significance