Question

Association Between Hair and Eye Color: The following table shows the relationship between hair color and...

  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. Using hand calculations, 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. Using hand calculations, report and examine a table of “residuals”. What does this table suggest?

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