Question
The following data was collected in a clinical trial evaluating a new compound designed to improve wound healing in trauma patients. The new compound was
- The following data was collected in a clinical trial evaluating a new compound designed to improve wound healing in trauma patients. The new compound was compared against a placebo. After treatment for 5 days with the new compound or placebo the extent of wound healing was 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.
Step 1. Set up hypotheses and determine level of significance.
H0:
H1: a=0.05
Step 2. Select the appropriate test statistic.
Step 3. Set up decision rule.
Step 4. Compute the test statistic.
Step 5. Conclusion.
(b) Use the data in Problem #1 and pool the data across the treatments into one sample of size n=250. Use the pooled data to test whether the distribution of the percent wound healing is approximately normal. Specifically, use the following distribution: 30%, 40%, 20% and 10% and a=0.05 to run the appropriate test.
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