A sample of 500 college students participated in a study designed to assess the

Question

A sample of 500 college students participated in a study designed to assess the level of college students knowlege of a certain group of common diseases. The students were split up into two groups; premed students and other majors. Based on their scores they were then classified as having good or poor knowledge. Of the 122 premed students, 31 had a good knowledge of the diseases. Of the 378 other majors, 19 had agood knowledge of the diseases.

Create an appropriate 2x2 table and carry out the chi-squared test at alpha=.05 for independence between major and knowledge of diseases.

Explanation / Answer

Doing an Expected Value Chart,          

          
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    42.57861817      
          
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 =    6.78976*10^-11      
          
As chi^2 > 3.841, and P < 0.05, we   REJECT THE NULL HYPOTHESIS.      
          
Thus, there is significant evidence that major and knowledge of diseases are not independent. [CONCLUSION]

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