Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level; it is also rejected at the .05 level; however it cannot be rejected at the .01 level.The most accurate statement that can be made about the p-value for this test is that:
A)p-value = 0.01.
B)p-value = 0.10.
C)0.01

Question

Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level; it is also rejected at the .05 level; however it cannot be rejected at the .01 level.The most accurate statement that can be made about the p-value for this test is that:
A)p-value = 0.01.
B)p-value = 0.10.
C)0.01 < p-value < 0.05.
D)0.05 < p-value < 0.10.

Quizplus · Accepted Answer

Since the null hypothesis is rejected at the .10 level and also at the .05 level, it means that the p-value is less than both 0.10 and 0.05. However, since it cannot be rejected at the .01 level, it means that the p-value is greater than 0.01. Thus, the most accurate statement about the p-value is that 0.01 < p-value < 0.05, which corresponds to choice C.

Suppose That in a Certain Hypothesis Test the Null Hypothesis