Collected in a clinical trial evaluating

Collected in a clinical trial evaluating

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 (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.

                    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?

  1. We have statistically significant evidence at alpha=0.05 to show that H0 is false.
  2. Treatment and percent wound healing are not independent.
  3. Treatment and percent wound healing are independent.
  4. a and b.
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