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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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