What is the rejection region for testing at the 0.05 level of significance?

Question

What is the rejection region for testing  at the 0.05 level of significance?

Quizplus · Accepted Answer

To determine the rejection region, we need to find the critical value of the standardized test statistic at the 0.05 level of significance. Since we do not have any information about the population or sample standard deviation, we use the standard normal distribution.

The critical value at the 0.05 level of significance for a two-tailed test is ±1.96. Therefore, the rejection region is |z| > 1.96.

Since we have a two-tailed test, we reject the null hypothesis if the calculated test statistic falls outside this rejection region.

What Is the Rejection Region for Testing at the 0.05