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It has been claimed that, for a penny minted in 1999 or earlier, the probability of...

It has been claimed that, for a penny minted in 1999 or earlier, the probability of observing heads upon spinning the penny is p. Three students got together, and they would each spin a penny and record the number X of heads out of the three spins. They repeated this experiment n = 200 times, observing 0, 1, 2, and 3 heads 57, 95, 38, and 10 times, respectively.

You have n = 200 data points: 0 appears 57 times, 1 appears 95 tmes, 2 appears 38 times and 3 appears 10 times. Test the hypothesis that this data came from binomial distribution. (Here you need to estimate the parameter p of the binomial first.)

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