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# This post addresses the rejection region, z-score & p-value.

I need some help with the following questions:

How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing?

#### Solution Preview

The rejection region is the region where values that fall outside of the acceptable range of the t-statistic fall, which causes the null hypothesis to be rejected. When the t-statistic falls inside of the acceptable region, it is not rejected and the null hypothesis is therefore accepted. The z-score shows how the single point that we are measuring compares to the normal data and tells us if the point being measured is above average, below average, and how unusual the measurement is between the point being measured and the data. The t-statistic itself is ...

#### Solution Summary

This solution explains each of the following questions:

How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing?

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