Question
2. The following data were collected in a clinical trial evaluating a new compound designed to improve wound healing in trauma patients. The new compound
2. 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 2>________
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 2.
2= ________
Based on comparing the computed 2 to the rejection level 2 which of the following is (are) true?
- We have statistically significant evidence at .05 to show that H0 is false.
- Treatment and percent wound healing are not independent.
- Treatment and percent wound healing are independent.
- a and b.
3. A clinical trial is conducted comparing a new pain reliever for arthritis to a placebo. Participants are randomly assigned to receive the new treatment or a placebo and the outcome is pain relief within 30 minutes. The data are shown below.
| Pain Relief | No Pain Relief |
New Medication | 44 | 76 |
Placebo | 21 | 99 |
Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance.
Reject H0 if Z < ________ or if Z > ________
alpha= ________
= ________
= ________
= ________
Z = ________
Based on comparing the computed z to the rejection level z which of the following is (are) true?
- We have statistically significant evidence at .05 to show that H0 is false.
- We have statistically significant evidence at .05 to show that there a significant difference in the proportions of patients reporting pain relief.
- We do not have statistically significant evidence at .05 to show there a significant difference in the proportions of patients reporting pain relief.
- a and b
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