A clinical trial is conducted comparing a new pain reliever for arthritis to a placebo. Participants are randomly assigned to receive the new medication or the placebo. The outcome is pain relief within 30 minutes. The data are shown in the following table:
|
|
Pain Relief
|
No Pain Relief
|
|
New Medication
|
44
|
76
|
|
Placebo
|
21
|
99
|
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Generate a 95% confidence interval for the proportion of patients on the new medication who report pain relief.
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Generate a 95% confidence interval for the difference in proportions of patients who report pain relief.
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Is there a significant difference in the proportions of patients reporting pain relief? Run the test at 5% level of significance.