A clinical trial is conducted to compare an experimental medication to placebo t

Question

A clinical trial is conducted to compare an experimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomized to receive 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 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 experimental and placebo groups. Use a 5% level of significance. Run the test using the five-step approach. In computing this, fully discuss:
The five step approach.
Any difficulties in computing it and the problems experienced

Explanation / Answer

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.
---------------------
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 Test Statistic is in the reject interval, reject Ho.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.