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![How often do different statistical tests agree? A simulation study](https://blogs.sas.com/content/iml/files/2022/01/normtests3-480x336.png)
Here's a fun problem to think about: Suppose that you have two different valid ways to test a statistical hypothesis. For a given sample, will both tests reject or fail to reject the hypothesis? Or might one test reject it whereas the other does not? The answer is that two