Question

For a hypothesis test, alpha = 0.05

The computed P-Value = 0.056

Should H0 be rejected?:

Answer 1

Since the p-value of 0.056 is greater than the significance level (α) of 0.05, the decision is not to reject the null hypothesis, indicating insufficient evidence to support the alternative hypothesis.

Step-by-step explanation:

When assessing whether to reject a null hypothesis H0 in a hypothesis test, you compare the calculated p-value to the predetermined significance level, often denoted as α (alpha). In this scenario, the alpha level is 0.05, and the computed p-value is 0.056.

Since the p-value is greater than alpha, the correct decision is not to reject the null hypothesis. This indicates that there is insufficient evidence at the 5 percent significance level to conclude that the alternative hypothesis Ha is true.

It is important to note that the decision in a hypothesis test is not definitive. Rather, it is based on the probability and the level of risk (alpha) that the researcher is willing to accept for making a Type I error, which is rejecting the null hypothesis when it is actually true.