Null hypothesis: Let p0 be the probability that a family with four children has no boys, p 1 be the probability that a family has one boy, and so on. The null hypothesis is that the number of boys in a four- child family follows a binomial distribution with n = 4 and p = 0.5. State the null hypothesis in terms of p0, p1, p2 , p3 , and p4 .
A hypothetical sample of 200 families, each with four children, was selected, and the number of boys was recorded for each. The results are presented in the following table.

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Number of boys 23 4 Observed 10 57 80 38 15