In: Statistics and Probability
The following data was collected in a clinical trial evaluating a new compound designed to improve wound healing in trauma patients. The new compound is compared against a placebo. After treatment for 5 days with the new compound or placebo the extent of wound healing is measured and the data are shown below.
| 
 Percent Wound Healing  | 
||||
| 
 Treatment  | 
 0-25%  | 
 26-50%  | 
 51-75%  | 
 76-100%  | 
| 
 New Compound (n=125)  | 
 15  | 
 37  | 
 32  | 
 41  | 
| 
 Placebo (n=125)  | 
 36  | 
 45  | 
 34  | 
 10  | 
Is there a difference in the extent of wound healing by treatment? (Hint: Are treatment and the percent wound healing independent?) Run the appropriate test at a 5% level of significance.
a. Set up hypotheses and determine level of significance
b. Set up decision rule
c. Compute the test statistic