If p-value = 0.06 and alpha = 0.05, what is the decision at the 5% significance level?

If p-value = 0.06 and alpha = 0.05, what is the decision at the 5% significance level?

• A. Reject H0
• B. Fail to reject H0
• C. Accept H0
• D. The result proves H0 is true

Answer: (B)

In hypothesis testing, you compare the p-value to your chosen significance level. If the p-value is less than or equal to alpha, you reject the null; if it is greater, you fail to reject the null. Here the p-value is 0.06 and alpha is 0.05. Since 0.06 is larger than 0.05, you do not reject the null hypothesis. So the decision is to fail to reject H0. This does not prove the null is true; it simply means there isn’t enough evidence against it given this data and the 5% significance level. The result would only be a rejection if the p-value were at or below 0.05.

In hypothesis testing, you compare the p-value to your chosen significance level. If the p-value is less than or equal to alpha, you reject the null; if it is greater, you fail to reject the null. Here the p-value is 0.06 and alpha is 0.05. Since 0.06 is larger than 0.05, you do not reject the null hypothesis. So the decision is to fail to reject H0. This does not prove the null is true; it simply means there isn’t enough evidence against it given this data and the 5% significance level. The result would only be a rejection if the p-value were at or below 0.05.