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Consider a large population of families that have exactly three children. Suppose that it is desired to test the null hypothesis H0 that the distribution

Consider a large population of families that have exactly three children. Suppose that it is desired to test the null hypothesis H0 that the distribution of the number of boys in each family is a binomial distribution with parameters 3 and 1 2 against the general alternative H1 that H0 is not true. Suppose also that in a random sample of 128 families it is found that 26 families have no boys, 32 families have one boy, 40 families have two boys and 30 families have three boys. Test H0 against H1 by using the FBST. Consider a Dirichlet distribution as the prior distribution.

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