Question

Using the p-value rule, if a null hypothesis is rejected at a significance level of 0.01, it will ________ be rejected at a significance level of 0.05

Answer 1

always

Explanation:

For this hypothesis test:

The Decision rule: To reject the null hypothesis
`H_o` if the p-value is lesser than < the significance level.

At the level of significance 0.01, the null hypothesis is rejected.

So, p-value < 0.01 and this typically shows that p-value is < 0.05.

Therefore, it will always be rejected at ∝ = 0.05