a clinical trial is conducted to compare an experimental medicationto placebo to

Question

a clinical trial is conducted to compare an experimental medicationto placebo to reduce the symptoms of asthma. Two hundredsparticipants are entrolled in the study and randomized to recieveeither the experimental medication or placebo. The primary outcomeis self-reported reduction of symptoms.Among100 participants whorecieved the experimental medication, 38 reported a reduction ofsymptoms as compared to 21 participants of 100 assigned to placebo.Test it there is a significant difference in the proportions ofparticipants reporting a reductionn by symptoms between theexperimental and placebo groups. Use a 5% level of significance.Run the test using the five step approach.
the five step approach.

Step 1. set up hypothesis and determine the level ofsignificance

H null: p1=P2
H1:P1 is not equal to p2
alpha =0.05.

Step 2. select the appropriate test statistic

Step 3, step the decision rule.

step 4. compute the test statistic

step 5. conclusion

I need to clear the steps explain and show me how it procedures, I'm still not understand need your feedback please. thanks.

Explanation / Answer

Medication: n1=100, p1=38/100=0.38 Placeb: n2=100, p2=21/100=0.21 Step 2: The test statistic is Z=(p1-p2)/[p1*(1-p1)/n1 + p2*(1-p2)/n2] =(0.38-0.21)/sqrt(0.38*(1-0.38)/100 + 0.21*(1-0.21)/100) =2.68 Step 3: =0.05, Z(0.025)=1.96 Rejection region: Z1.96 Step 4: Since Z=2.68>1.96, we reject Ho. Step5: So we can conclude that there is a significant difference inthe proportions of participants reporting a reductionn by symptomsbetween the experimental and placebo groups.

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