1. A clinical trial is conducted comparing
a new pain medication for arthritis.
Participants are randomly assigned to receive the new medication or a
placebo. The outcome is pain relief
within 30 minutes. The data are shown
below.
Pain |
No |
|
New Medication |
44 |
76 |
Placebo |
21 |
99 |
Estimate the
risk difference in pain relief between treatments
|
Estimate the
relative risk in pain relief between treatments
|
Estimate the
odds ratio in pain relief between treatments
|
The upper and
lower limits of the are shown below
Lower Limit of
CI: ____0.41____
Upper Limit of
CI: ___1.61_____
Based on the Confidence Interval values which of the following are
true?
A.
One
can be 95% confident that the true value will be greater than the upper limit.
B.
One
can be 95% confident that the true value will be greater than the lower limit.
C. One can be 95% confident that the true
value will between the upper and lower limit.
D.
a
and b
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 (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?2to the rejection
level?2
which of the
following is (are) true?
A.
We
have statistically significant evidence at alpha=0.05 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.
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 computedzto the rejection levelzwhich of the following is (are) true?
A.
We
have statistically significant evidence at alpha=0.05 to show that H0
is false.
B.
We
have statistically significant evidence at alpha=0.05 to show thatthere a significant difference in the proportions of patients
reporting pain relief.
C.
We
do not have statistically significant evidence at alpha=0.05 to showthere a significant difference in the proportions of patients
reporting pain relief.
D.
a and b