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The population of Turing test scores is shown as an histogram
above. A 2 goodness-of-fit test of the
population of scores against a binomial where p = q =
0.50 is shown as the green, leftmost curve in the histogram. The random
binomial distribution (yellow, middle curve) is symmetrical about the 0.5 mean.
A 2 goodness-of-fit test of the
population of scores against a binomial where p = 0.6 and
q = 0.4 is shown as the red, rightmost curve in the
histogram.
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