Question

1. Association Between Hair and Eye Color: The following table shows the relationship between hair color and eye color for 6800 German men (adapted from O. Ammon (1899) as reported by Goodman and Kruskal (1954) Journal of the American Statistical Association, 49, 732-764.)

	Hair Color
Eye color	Brown	Black		Fair	Red
Brown	438		288	115	16
Grey or Green	1387		746	946	53
Blue	807		189	1768	47

1. Use a chi-square test to test the null hypothesis that hair color and eye color are independent against the general alternative that they are not independent. Report the value of the test statistic, its degrees of freedom, and a p-value. Using a 0.05 level of significance, report your conclusion.
2. Report and examine a table of “residuals”. What does this table suggest?

Answer 1