Consider a large population of families in which each family

Consider a large population of families in which each family has exactly three children. If the genders of the three children in any family are independent of one another, the number of male children in a randomly selected family will have a binomial distribution based on three trials. (a) Suppose a random sample of 160 families yields the following results. Test the relevant hypotheses by proceeding as in Example 14.5 and using significance level 0.05.

State the rejection region and compute the test statistic value. (Round your answers to three decimal places.)

Solution

The degree of freedom = 4-1=3

Given a=0.05, the critical value of X^2 with 0.95 and df=3 is 7.815 (from chisquare table)

rejection region : X^2 > 7.815

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