SOLUTION: A clinical trial is conducted to compare an expetimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomized

Algebra.Com
Question 369128: A clinical trial is conducted to compare an expetimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomized to reveive either the experimental medication or placebo. The primary outcome is self-reported reduction of symptoms. Among 100 participants who received the experimental medication, 38 reported a reduction of symptoms aws compared to 21 participants of 100 assigned to placebo. Test if there is a significant difference in the proportions of participants reporting a reduction of symptoms between the wxperimental and placebo groups. Use a 5% level of significance. Run the test using the five-step approach In computing this fully discuss the hypothesis 5 step approach and any difficulties in computing it and the problems experienced.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A clinical trial is conducted to compare an expetimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomized to reveive either the experimental medication or placebo. The primary outcome is self-reported reduction of symptoms.
-----------------------
Among 100 participants who received the experimental medication, 38 reported a reduction of symptoms as: p-hat(ex) = 0.38
-----------------------
21 participants of 100 assigned to placebo: p-hat(cebo) = 0.21
-----------------------
Test if there is a significant difference in the proportions of participants reporting a reduction of symptoms between the experimental and placebo groups.
-----------------------------
Ho: p(ex)-p(cebo) = 0
Ha: p(ex)- p(cebo)is not zero
---------------------------------
Use a 5% level of significance. Run the test using the five-step approach In computing this fully discuss the hypothesis 5 step approach and any difficulties in computing it and the problems experienced.
---------------------
CV: +-1.96
Test stat: z(0.38-0.21)/sqrt[(0.21*0.79/100 + 0.38*0.62/100)] = 42.34
------------------
Since the TS is in the reject interval, reject Ho.
====================================================
Cheers,
Stan H.

RELATED QUESTIONS

4. A clinical trial is conducted to compare an experimental medication to placebo to... (answered by MathLover1)
I need someone to fully explain how to get this answer ns easy terms. Please include... (answered by stanbon)
A clinical trial is planned to compare an experimental medication designed to lower blood (answered by stanbon)
A clinical trial is conducted comparing a new pain reliever for arthritis to a placebo.... (answered by stanbon)
In a clinical trial 250 patients are randomly assigned to receive either a proposed... (answered by stanbon)
A crossover trial is conducted to compare an experimental medication for migraine... (answered by rjernej1)
In a clinical trial, 25 out of 876 patients taking a prescription drug daily complained... (answered by Boreal)
In a clinical trial 27 out of 886 patients taking a prescription drug daily complained of (answered by Boreal)
The probability of flu symptoms for a person not receiving any treatment is 0.057. In a... (answered by Boreal)