I remember the feeling after my first undergraduate course in statistics essentially being that we stated these principles, then spent the remaining weeks essen

I remember the feeling after my first undergraduate course in statistics essentially being that we stated these principles, then spent the remaining weeks essentially invalidating them without offering any real alternatives. My professor may have been more careful than I remember, but the subtleness was lost on me at the time if that was the case. The testing of statistical hypotheses always seemed like an odd area of the mathematical sciences to me, even after later taking a graduate mathematical statistics sequence. Like an academic squabble between giants in the field of frequentist inference (Fisher vs. Neyman and Pearson) that ended suddenly without resolution, with the scientific community decided to sloppily merge the two positions for the purposes of publication and forge onward.