2 The table below gives a report comparing ethnic group with

2. The table below gives a report comparing ethnic group with charitable giving. Use a chi square test to determine if ethnic group and charitable giving are related.

Solution

Doing an Expected Value Chart,          
          
268.3693931   190.7124011   104.2744063   60.64379947
398.2532982   283.0123131   154.7405453   89.99384345
173.7519789   123.4740545   67.51099384   39.26297274
137.6253298   97.80123131   53.47405453   31.09938434
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    46.33726638      
          
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,          
          
a =    4      
b =    4      
          
df =    9      
          
Thus, the critical value is          
          
significance level =    0.05      
          
chi^2(critical) =    16.9189776      
          
Also, the p value is          
          
P =    5.21322E-07      
          
Thus, comparing chi^2 and chi^2(crit) [or, p and significance level], we   REJECT THE NULL HYPOTHESIS.      
          
Thus, there is significant evidence that charitable giving and ethnic group are related. [conclusion]