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.
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Among 100 participants who received the experimental medication, 38 reported a reduction of symptoms as: p-hat(ex) = 0.38
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21 participants of 100 assigned to placebo: p-hat(cebo) = 0.21
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Test if there is a significant difference in the proportions of participants reporting a reduction of symptoms between the experimental and placebo groups.
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Ho: p(ex)-p(cebo) = 0
Ha: p(ex)- p(cebo)is not zero
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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.
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CV: +-1.96
Test stat: z(0.38-0.21)/sqrt[(0.21*0.79/100 + 0.38*0.62/100)] = 42.34
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Since the TS is in the reject interval, reject Ho.
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Cheers,
Stan H.
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