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 4268 patients treated with the drug, 127 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reaction a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.)
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 4268 patients treated with the drug, 127 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reaction a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.)
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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![**Title: Estimating Population Proportion and Confidence Intervals**
**Introduction:**
This lesson will cover how to use sample data and confidence levels to estimate population proportions and construct confidence intervals. We will demonstrate using sample data from clinical trials of a drug aimed at preventing blood clots.
**Problem Statement:**
A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4268 patients treated with the drug, 127 developed the adverse reaction of nausea. We need to construct a 99% confidence interval for the proportion of adverse reactions.
**Tasks:**
**a) Find the Best Point Estimate of the Population Proportion \( p \):**
- **Point Estimate Formula:**
\[
\hat{p} = \frac{x}{n}
\]
- \( x \) = number of patients with adverse reactions (127)
- \( n \) = total number of patients (4268)
- **Calculate the Point Estimate:**
- Substitute the values into the formula to find \( \hat{p} \).
- **Round to Three Decimal Places:**
- Follow the prompt to round your answer appropriately.
**Conclusion:**
Understanding how to calculate the point estimate and construct confidence intervals is crucial in clinical settings to predict adverse reactions accurately and ensure patient safety.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ce1ec48-7185-4f2b-b6e9-210aa54045b2%2Fa3cbe241-737a-42eb-a43d-81cb6efe6c46%2Flqq5y1w_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Estimating Population Proportion and Confidence Intervals**
**Introduction:**
This lesson will cover how to use sample data and confidence levels to estimate population proportions and construct confidence intervals. We will demonstrate using sample data from clinical trials of a drug aimed at preventing blood clots.
**Problem Statement:**
A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4268 patients treated with the drug, 127 developed the adverse reaction of nausea. We need to construct a 99% confidence interval for the proportion of adverse reactions.
**Tasks:**
**a) Find the Best Point Estimate of the Population Proportion \( p \):**
- **Point Estimate Formula:**
\[
\hat{p} = \frac{x}{n}
\]
- \( x \) = number of patients with adverse reactions (127)
- \( n \) = total number of patients (4268)
- **Calculate the Point Estimate:**
- Substitute the values into the formula to find \( \hat{p} \).
- **Round to Three Decimal Places:**
- Follow the prompt to round your answer appropriately.
**Conclusion:**
Understanding how to calculate the point estimate and construct confidence intervals is crucial in clinical settings to predict adverse reactions accurately and ensure patient safety.
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