
MATLAB: An Introduction with Applications
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Transcribed Image Text:### Confidence Intervals for Proportions
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 4301 patients treated with the drug, 140 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions.
#### Steps:
1. **Find the best point estimate of the population proportion p.**
- (Round to three decimal places as needed.)
2. **Identify the value of the margin of error E.**
- E =
- (Round to three decimal places as needed.)
3. **Construct the confidence interval.**
- < \( p \) <
- (Round to three decimal places as needed.)
4. **Write a statement that correctly interprets the confidence interval. Choose the correct answer below.**
- A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
- B. One has 99% confidence that the sample proportion is equal to the population proportion.
- C. 99% of sample proportions will fall between the lower bound and the upper bound.
- D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
Click to select your answer(s).
#### Note
- Be sure to perform appropriate rounding where indicated (to three decimal places).
- Ensure the accuracy of calculated values for meaningful interpretation of results.
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This content was designed to assist students in understanding the process of constructing and interpreting confidence intervals for proportions, a key concept in statistics and inferential analysis. The example used focuses on a clinical trial scenario, providing practical application of the statistical methods discussed.
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