Assume alpha is equal to 05 state the null hypothesis Altern

Assume alpha is equal to 0.5; state the null hypothesis. Alternative hypothesis write your decision. Cni-square:

Solution

Ho: The proportion of subjects in A, B, and C is independent of gender.

Ha: The proportion of subjects in A, B, and C is not independent of gender.

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Doing an Expected Value Chart,          
          
48.14814815   57.77777778   24.07407407  
51.85185185   62.22222222   25.92592593  
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    8.975274725      
          
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      
          
Also, the p value is          
          
P =    0.011247185      
          
As chi^2 > 5.9915, and P < 0.05, we   REJECT THE NULL HYPOTHESIS.      
          
Thus, there is significant evidence that the proportion of subjects in A, B, and C is not independent of gender. [CONCLUSION]