The table below summarizes results from a clinical trial Use

The table below summarizes results from a clinical trial. Use a .05 level of significance to test the claim that experiencing nausea is independent of whether a subject is tested with Celebrex, Ibuprofen, or a placebo. Does the adverse reaction of nausea appear to be about the same for the different treatments? (Identify the appropriate test and show complete steps in hypothesis testing)

Solution

5.

Doing an Expected Value Chart,          
          
46.95145631   35.33980583   21.70873786  
418.0485437   314.6601942   193.2912621  
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    2.91711617      
          
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 =    0.232571381      
          
As chi^2 < 5.991, and P > 0.05, we   FAIL TO REJECT THE NULL HYPOTHESIS.      
          
Thus, there is no significant evidence that nausea and treatments are dependent to each other.   [CONCLUSION]