Question

Which of the following is true with regard to a P-value? (More than one answer may be correct.)

a. The P-value is generated under the assumption that the null hypothesis is true.

b. The P- value may be negative in some tests.

c. If the P-Value is below 5% in a 5% significance level, then the null hypothesis will be rejected.

d. In a left-tailed test if the P-Value is 100%, the sample statistic equals the population value as stated in the null hypothesis.

Answer 1

a. The P-value is generated under the assumption that the null hypothesis is true.

c. If the P-Value is below 5% in a 5% significance level, then the null hypothesis will be rejected.

The above two statements are correct. We assume that the null hypothesis is true when drawing the p-value. Also, if the p-value is less than 5% in 5% significance level, then we reject the null hypothesis. We know that the p-value is always positive. In a left-tailed test if the P-Value is 50%, the sample statistic equals the population value as stated in the null hypothesis.