MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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B) identify the value of the margin of error (E)

C)Construct the confidence interval

### Understanding Confidence Intervals and Proportions in Clinical Trials

#### Problem Statement:
Use the sample data and confidence level given below to complete parts (a) through (d).

A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4939 patients treated with the drug, 166 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions.

**a) Find the best point estimate of the population proportion p.** 

*(Round to three decimal places as needed.)*

[ ]
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Transcribed Image Text:### Understanding Confidence Intervals and Proportions in Clinical Trials #### Problem Statement: Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4939 patients treated with the drug, 166 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions. **a) Find the best point estimate of the population proportion p.** *(Round to three decimal places as needed.)* [ ]
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Given
Total number of patients treated with drug = n = 4939
The total number of patients developed the adverse reaction of nausea = 166
The proportion of patients developed the adverse reaction of nausea = p = 166/4939 = 0.0336

The value of n*p and n(1-p) are 166 and 4773 both are more than 10, so we assume normal approximation as the sample size is large.

The 99% critical Z value is 2.575

The point estimate = p = 0.0336

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