Question

What is the final conclusion? Select the correct options in the sentence below. We select the null hypothesis because the p-value is select the 5% significance level. We, therefore, cannot conclude that Ha.

a) Reject, less than

b) Reject, greater than

c) Fail to reject, less than

d) Fail to reject, greater than

Answer 1

The correct completion of the sentence is 'Fail to reject, greater than' (option d) because the p-value is greater than the 5% significance level, indicating insufficient evidence to reject the null hypothesis.

Step-by-step explanation:

The final conclusion is: Fail to reject, greater than the 5% significance level. We therefore cannot reject the null hypothesis (H0) because the p-value is greater than the significance level (α = 0.05).

In hypothesis testing, when the p-value is greater than 0.05, it indicates that there is not enough statistical evidence to reject the null hypothesis. Thus, we cannot support the alternative hypothesis (Ha) under the 5% significance level.

This is in line with the reference that when α is less than the p-value, the correct decision is to not reject H0. By not rejecting the null hypothesis, we imply that there's insufficient evidence to suggest that the effect being tested is present in our population.