Statistics Solutions

(Steps Shown) A researcher developed a model that predicts that the eye color of the first-born child of parents will be brown 84% of the time, blue 10% of

Question: A researcher developed a model that predicts that the eye color of the first-born child of parents will be brown 84% of the time, blue 10% of the time, and green 6% of the time.  From a sample of 150 first-born children, 120 had brown eyes, 24 had blue eyes, and 6 had green eyes.  Use the \({{\chi }^{2}}\) distribution to determine the test statistic and test the claim that the actual frequencies correspond to the predicted distribution at the 0.05 significance level.  The data is tabulated below.

3 values Observed frequency Expected probability Expected frequency
# O E
1 Brown 120 0.840 126.00
2 Blue 24 0.100 15.00
3 Green 6 0.060 9.00
Sum 150.0 1.000 150.0


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