Consider a two-tailed test with a level of confidence of 99%. The p-value is determined to be 0.05. Therefore, the null hypothesis ________.
A) should not be rejected
B) must be rejected
C) may or may not be rejected depending on the square root of the sample size
D) is the same as the alternative hypothesis

Question

Quizplus · Accepted Answer

With a level of confidence of 99% (or alpha = 0.01), if the p-value is less than alpha, we reject the null hypothesis. However, in this case, the p-value (0.05) is greater than alpha (0.01), which means we fail to reject the null hypothesis. Therefore, the correct answer is A: the null hypothesis should not be rejected.

Consider a Two-Tailed Test with a Level of Confidence of 99