The following data were collected in a clinical trial evaluating a new compound designed to improve wound healing in trauma patients.
The following data were 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 () | 15 | 37 | 32 | 41 |
| Placebo () | 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.
df= ________
alpha= ________
Reject H0 if χ2>________
Compute expected frequencies
Expected Frequency = (Row Total * Column Total)/N.
Complete the expected frequencies for each cell.
| Percent Wound Healing | Total | ||||
| Treatment | 0-25% | 26-50% | 51-75% | 76-100% | |
| New Compound | 15
( ) |
37
( ) |
32
( ) |
41
( ) |
125 |
| Placebo | 36
( ) |
45
( ) |
34
( ) |
10
( ) |
125 |
| Total | 51 | 82 | 66 | 51 | 250 |
Compute χ2.
χ2= ________
Based on comparing the computed χ2 to the rejection level χ2 which of the following is (are) true?
A. We have statistically significant evidence at .05 to show that H0 is false.
B. Treatment and percent wound healing are not independent.
C. Treatment and percent wound healing are independent.
D. a and b.
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