Question

In: Statistics and Probability

9.1-5. Let X equal the number of female children in a three-child family. We shall use...

9.1-5.

Let X equal the number of female children in a

three-child family. We shall use a chi-square goodness-of-

fit statistic to test the null hypothesis that the distribution

of X is b (3, 0.5).

(a)

Define the test statistic and critical region, using an

α = 0.05 significance level. (b)

Among students who were taking statistics, 52 came

from families with three children. For these families,

x= 0, 1, 2, and 3 for 5, 17, 24, and 6 families, respec-

tively. Calculate the value of the test statistic and

state your conclusion, considering how the sample was

selected.

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