I'm struggling with this problem and I need some help with it, please? Critical Thinking. In Exercises 17–28, use the data and confidence level to construct aconfidence interval estimate of p, then address the given question. 25. Lipitor In clinical trials of the drug Lipitor (atorvastatin), 270 subjects were given a pla-cebo and 7 of them had allergic reactions. Among 863 subjects treated with 10 mg of the drug,8 experienced allergic reactions. Construct the two 95% confidence interval estimates of thepercentages of allergic reactions. Compare the results. What do you conclude?

Answered: 25. Lipitor In clinical trials of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I'm struggling with this problem and I need some help with it, please?

Critical Thinking. In Exercises 17–28, use the data and confidence level to construct a
confidence interval estimate of p, then address the given question.

25. Lipitor In clinical trials of the drug Lipitor (atorvastatin), 270 subjects were given a pla-
cebo and 7 of them had allergic reactions. Among 863 subjects treated with 10 mg of the drug,
8 experienced allergic reactions. Construct the two 95% confidence interval estimates of the
percentages of allergic reactions. Compare the results. What do you conclude?

Expert Solution

Step 1

In this case, the estimated population proportion (i.e., the proportion of subjects with allergic reaction due to placebo and 10g of the drug in this case) confidence interval gives an interval for the considered population proportion, with a certain degree of confidence (i.e., 95%). The CI for the proportion is:

$\hat{p} \pm [z \sqrt{\frac{\hat{p} (1 - \hat{p})}{n}}] w h e r e, \hat{p} = s a m p l e p r o p o r t i o n z = c r i t i c a l v a l u e n = s a m p l e s i z e$