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

## Two Methods for Making a Statistical Decision Section

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 Section

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 $$H_0$$.