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Chi square for goodness of fit

Consider a large population of families with three children each. If the genders of children in any family are independent of one another, the number of male children in any family will have a binomial distribution based on three trials. Suppose a random sample of 160 families yields the following results. test significance level 0.05

# of children 0 1 2 3
Frequency 14 66 64 16

Solution Summary

The solution provides step by step method for the calculation of chi square test statistic for goodness of fit for binomial distribution. Formula for the calculation and Interpretations of the results are also included.