Question

Claire knows the z score for her research hypothesis is –2.05, and her critical values are –1.96 and 1.96 for a p value of 0.05. What should she conclude about her hypothesis given these statistics?

Answer 1

Explanation:

Hello!

The critical values are the values of the distribution that mark the bonds of the "rejection region" and the "not rejection region".

Under the Z distribution with α: 0.05, if the critical values are -1.96 and 1.96 this means that:

-1.96 < Z < 1.96 is the "region of support" of the null hypothesis and any other value of Z, either below or equal to -1.96 or above or equal to 1.96 will determine the rejection of the null hypothesis.

In this case, the obtained Z value is -2.05, this value is less than -1.96, meaning it is within the "rejection region" so Claire should reject the null hypothesis.

I hope it helps!