Question

An analyst tested the null hypothesis µ ≥ 30 against the alternative hypothesis that µ < 30. The analyst reported a p-value of 0.07. For what significance level of will the null hypothesis would be rejected?

Answer 1

For significance levels lower than 0.07, the null hypothesis would be rejected.

Explanation:

Decision regarding the null hypothesis:

The decision depends on the p-value of the test.

If the p-value of the test is less than the significance level, the null hypothesis is reject.

If the p-value of the test is more than the significance level, the null hypothesis is not reject.

The analyst reported a p-value of 0.07. For what significance level of will the null hypothesis would be rejected?

From the theory above, for significance levels lower than 0.07, the null hypothesis would be rejected.