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→In Search of the Truth: Who's Better?
We now compare this value of <math>\chi^2</math> to a threshold value of <math>\chi^2</math> in our chi-squared distribution of two degress of freedom. In experiments of this kind, it is customary to take a confidence level of at least 95% as evidence that your data demonstrates a significant trend, however to have a confidence of 95% that one player were better than the other in this case we would need a <math>\chi^2</math> value of '''3.84''' or greater. 0.787... is far too low, corresponding more closely to a confidence of about 40%.
Though it went against the standards of every academic field, including his own basic training in [[Psychology]] statistics, Zach seemed satisfied by this level of confidence. Writing: He wrote, ''There was a time senior year when a t-squared analysis ''[sic.]'' on the number of victories each showed that Zach was, statistically, a superior cribbage player to Jonathan. Once that point was reached, Zach felt his point was proven and lowered his level of play, allowing Jonathan to win a few games and regain a bit of dignity... at least statistically speaking.''
==Cribbage moments==