# 6a.4.2 - More on the P-Value and Rejection Region Approach

6a.4.2 - More on the P-Value and Rejection Region Approach

## Two Methods for Making a Statistical Decision

Of the two methods for making a statistical decision, the p-value approach is more commonly used and provided in published literature. However, understanding the rejection region approach can go a long way in one's understanding of the p-value method. In the video, we show how the two methods are related. Regardless of the method applied, the conclusions from the two approaches are exactly the same.

## Comparing the Two Approaches

Both approaches will ensure the same conclusion and either one will work. However, using the p-value approach has the following advantages:

• Using the rejection region approach, you need to check the table or software for the critical value every time you use a different $\alpha$ value.
• In addition to just using it to reject or not reject $H_0$ by comparing p-value to $\alpha$ value, the p-value also gives us some idea of the strength of the evidence against $H_0$.

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