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I'm lucky that this has been stressed to me repeatedly during my studies (Bayesian statistics FTW).

We had a tea time about this recently, too! Let me share this cool website he showed us. You can play around with it, and you can see the effects a p-value has on your various errors. It's really enlightening to see how different factors influence each other.

This opposition to the p-value is nothing new, either. One of the first papers I read was ["The earth is round (p<.05)"](http://ist-socrates.berkeley.edu/~maccoun/PP279_Cohen1.pdf) by Jacob Cohen. I heartily recommend reading it if you'll ever get anywhere close to a t-test. It should be required reading.