the relationship between political identifications and the a

the relationship between political identifications and the attitude toward the proposal significant? Why or why not? Participants were divided into groups based on their score on an assessment that measures jealousy. Participants were then divided into groups based on their gender. The results are listed below. Determine if males and females differ on their jealousy score. Male Female Total Not Jealous 27 38 65 Jealous 45 32 77 Total 72 70 142 Is there a significant relationship between gender and jealousy? Why or why not?

Solution

Ho: Gender and jealousy are independent.
Ha: Gender and jealousy are not independent.

Doing an Expected Value Chart,          
          
32.95774648   32.04225352  
39.04225352   37.95774648  
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    4.028973883      
          
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,          
          
a =    2      
b =    2      
          
df =    1      
          
Thus, the critical value is          
          
significance level =    0.05      
          
chi^2(critical) =    3.841458821      
          
Also, the p value is          
          
P =    0.044725136      
          
As chi^2 > 3.8414 (or P < 0.05), we   REJECT THE NULL HYPOTHESIS.      
          
Thus, there is significant evidence that Gender and jealousy are not independent. YES, THERE IS A SIGNIFICANT RELATIONSHIP. [CONCLUSION]