Question
Please show the following in Excel format with formulas. The following data was collected in a clinical trial evaluating a new compound designed to improve
Please show the following in Excel format with formulas.
The following data was 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.
Step 1. Set up hypotheses and determine level of significance.
H0: Treatment and percent wound healing are independent
H1: H0 is false.
Step 2. Select the appropriate test statistic.
E
E)-(O
2
2
The condition for appropriate use of the above test statistic is that each expected
frequency is at least 5. In Step 4 we will compute the expected frequencies and we
will ensure that the condition is met.
Step 3. Set up decision rule.
df=(2-1)(4-1)=3 and the decision rule is Reject H0 2 > 7.81.
Step 4. Compute the test statistic.
We now compute the expected frequencies using the formula,
Expected Frequency = (Row Total * Column Total)/N.
The top number in each cell of the table is the observed frequency and the bottom
number is the expected frequency, shown in parentheses.
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