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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