In clinical tests of Lipitor, 270 subjects were given a placebo and 7 had allergic reactions. Among...
In clinical tests of Lipitor, 270 subjects were given a placebo and 7 had allergic reactions. Among the 863 subjects treated with the drug, 8 had allergic reactions. Construct two 95% CI's for the proportion of allergic reactions and compare the results.
Homework Answers
Solution :
Given that,
Point estimate = sample proportion = 
= x / n = 270 / 863 = 0.313
1 -
= 1 - 0.313 = 0.687
Z
/2
= 1.96
Margin of error = E = Z
/ 2 * 
((
* (1 -
)) / n)
= 1.96 * (((0.313
* 0.687) / 863)
Margin of error = E = 0.031
A 95% confidence interval for population proportion p is ,
- E < p <
+ E
0.313 - 0.031 < p < 0.313 + 0.031
0.282 < p < 0.344
The 95% confidence interval for the population proportion p is : 0.282 , 0.344
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In clinical tests of Lipitor, 270 subjects were given
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In clinical tests of Lipitor, 270 subjects were given a placebo and 7 had allergic reactions. Among the 863 subjects treated with the drug, 8 had allergic reactions. Construct two 95% CI's for the proportion of allergic reactions and compare the results.
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