Question

You perform a hypothesis test for a hypothesized population mean at the 0.01 level of significance. Your null hypothesis for the two-sided test is that the true population mean is equal to your hypothesized mean. The two-sided p-value for that test is 0.023. Based on that p-value... A. you should accept the null hypothesis. B. the null hypothesis cannot be correct. C. you should reject the null hypothesis. D. you should fail to reject the null hypothesis.

Answer 1

Solution

Given,

= 0.01

Two sided test

p value = 0.023

If p value is greater than , then we Fail to reject the null hypothesis

If the p value is less than , then we Reject the the null hypothesis.

Here the p value 0.023 is greater then 0.01

So, you should fail to reject the null hypothesis.

Option D is correct.