Question

Which of the following facts about the p-value of a test is correct?

A.The p-value is calculated under the assumption that the null hypothesis is true.

B.The smaller the p-value, the more evidence the data provide against H0.

C. The p-value can have values between -1 and 1.

D.All of the above are correct.

E. Just (A) and (B) are correct.

Answer 1

The correct answer is E. Just (A) and (B) are correct.

Step-by-step explanation:

The correct answer is E. Just (A) and (B) are correct.

A. The p-value is calculated under the assumption that the null hypothesis is true. This means that the p-value is calculated based on the assumption that there is no effect or relationship in the population.

B. The smaller the p-value, the more evidence the data provide against H0. A small p-value indicates that the observed data is unlikely to occur if the null hypothesis is true, providing strong evidence against the null hypothesis.

C. The p-value represents the probability of observing a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can only range from 0 to 1, inclusive.

Therefore, option E is the correct answer, as both (A) and (B) are true statements.