Question

A one-sided significance test gives a p-value of .04. From this we can
a. Reject the null hypothesis with 99% confidence.
b. Reject the null hypothesis with 96% confidence.
c. Say that the probability that the null hypothesis is false is .04.
d. Say that the probability that the null hypothesis is true is .04.

Answer 1

A one-sided significance test gives a p-value of .04. From this we can

Answer: The correct option is b. Reject the null hypothesis with 96% confidence.

Explanation:

The P-value based rule is that if the P-value is less than or equal to the significance level, we reject the null hypothesis and if the P-value is greater than the significance level, we fail to reject the null hypothesis.

Now in the given situation, the P-value = 0.04, and significance level is 1 - 0.96 = 0.04. Since the P-value is less than or equal to the significance level, we therefore, reject the null hypothesis with 96% confidence