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How to describe the data might not come from a binomial distribution, such as training classes, 60% of students can pass the global exam, 40%

How to describe the data might not come from a binomial distribution, such as training classes, 60% of students can pass the global exam, 40% can not, but through using the goodness of fit test, (20 trainees sample ), data observes cannot come from the binominal distribution, how to link training classes characteristics to making reference

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