At the 5 significance level test the claim that hair color i

At the 5% significance level, test the claim that hair color is independent of the sex of the individual.

Solution

CHI TEST OF INDEPENDENCE      
      
Doing an Expected Value Chart,      
      
43.34328358   36.44776119   30.20895522
88.65671642   74.55223881   61.79104478

Using chi^2 = Sum[(O - E)^2/E],  
  
chi^2 =    3.011683036
  
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,  
  
a =    3
b =    2
  
df =    2
  
Thus, the critical value is  
  
significance level =    0.05
  
chi^2(critical) =    5.991464547

Thus, we FAIL TO REJECT THE NULL HYPOTHESIS.

That means there is no significant evidence that hair color is dependent on the sex of the individual.