In: Statistics and Probability
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.