Question

Suppose that the p-value associated with a test statistic is 0.15. In this case,

Group of answer choices

should reject the null at the 10-percent and 5-percent levels of significance, but not at the 1-percent level.

should reject at the 5-percent level of significance, but not at the 5-percent level or lower levels of significance.

you should reject the null hypothesis at the 10-percent, 5-percent, and 1-percent levels of significance.

should not reject the null hypothesis at the 10-percent, 5-percent, or 1-percent levels of significance.

Answer 1

It shall be noted that the actual p-value of the test statistic is 0.15

At a 1% level of sigi=nificance, the critical p-value is 0.01

At a 5% level of significance, the critical p-value is 0.05

At a 10% level of significance, the critical p-value is 0.10

Thus, the actual p-value is greater than the critical p-value at each of 1%, 5%, and 10% level of significance.

When such a situation holds, the null hypothesis is not rejected.

Hence, the correct answer is - should not reject the null hypothesis at the 10-percent, 5-percent, or 1-percent levels of significance.