Null hypothesis: Let p0 be the probability that no heads appear in a sequence of four coin tosses, p1 be the probability that one head appears, and so on. The null hypothesis is that the number of heads in a sequence of four coin tosses follows a binomial distribution with n = 4 and p = 0.5. State the null hypothesis in terms of p0, p1, p2, p3, and p4.

Two hundred people each tossed four coins, and the number of heads was recorded for each. The results are presented in the following table.

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Number of heads Observed 012 3 4 10 57 80 38 15