>If you just accept that this laundry list of assumptions is true, and take an infinite number of samples, then the chance of being a fucking liar is only 5%!

The justifications for these statistical tests are a series of asymptotic approximations. They also rely heavily on real analysis to construct continuous distributions from discrete ones so statistics professors just dump the complicated formulas on students as a given without proof or motivation.

With the advent of AI it's time to start teaching statistics completely differently, from the bayesian perspective. The focus needs to be less on ensuring you are making accurate causal assumptions and more on making flexible inferential models.

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Frequentist Statistics is Complete Bullshit