Question

"If the P-value is smaller than the level of significance α, then the researcher should __________ at level α."

Answer 1

Answer: Reject Null hypothesis H0

Explanation:

"If the P-value is smaller than the level of significance α, then the researcher should reject Null hypothesis H0 at level α."

The significance level can be defined as the measure of the strength of the evidence that must be present in your sample before rejecting the null. Therefore when the P-value is smaller than the significance level that means the data is farther outside the confidence interval of the null hypothesis which means you will have to reject the null hypothesis.

Therefore, when P-value is less than significance level

Reject H0, and when P-value is greater than the significance level there is no enough evidence to reject H0.

Answer 2

The researcher should reject the null hypothesis at the significance level

Explanation:

If the P-value is smaller than the significance level, the null hypothesis is rejected

If the P-value is the same as the significance level, the null hypothesis is rejected