Question

Which of the following accurately describes the sample means the critical region (i.e.,the rejection area) of the distribution of sample means for the z-test?

A. The sample means with a very low probability of being randomly selected from the population tested (i.e., the extreme sample means, relatively infrequent in the population tested).
B. The sample means with a high probability of being randomly selected from the population tested (i.e., the extreme sample means, relatively infrequent in the population tested).
C. The sample means with a high probability of being randomly selected from the population (i.e., the common sample means, relatively frequent in the population tested).
D. The sample means with a very low probability of being randomly selected from the population tested (i.e., the common sample means, relatively frequent in the population tested).

Please explain in simple terms, thank you so much!

Answer 1

Answer)

We reject the null hypothesis when p-value is extremely small

For example if p-value is 0.0007 then we will reject the null hypothesis

And sample mean lies in the rejection region

So answer here is

The sample means with a very low probability of being randomly selected from the population tested (i.e., the extreme sample means, relatively infrequent in the population tested).