-(nt) Construct the 91% confidence in I= 53.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
![**Transcription of Image for Educational Website:**
---
### Constructing a 91% Confidence Interval
**Task:** Construct the 91% confidence interval estimate of the population proportion \( p \).
- **Given:**
- Sample size (\( n \)) = 300
- Number of successes in the sample = 198
- **Formula:**
The confidence interval for a population proportion can be calculated using the formula:
\[
\hat{p} \pm Z \cdot \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}
\]
Where:
- \(\hat{p}\) = sample proportion = \(\frac{\text{number of successes}}{n}\)
- \(Z\) is the Z-score corresponding to the confidence level (91%)
---
**Visual Explanation:**
- **Z-score:** The image shows a Z-score table or distribution graph indicating a Z-score of approximately 1.70 (corresponding to 91% confidence level).
### Input:
**Enter the interval in the provided fields:**
\[ < p < \]
---
Use this structure to determine the confidence interval and enter the values in the blanks provided.
**Note:** Ensure calculations are accurate for educational integrity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F285c828f-5944-4d39-89d0-f144127a108a%2Fc5e63a75-579b-4555-a44f-a8dca0ffd39f%2Fga77b93_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription of Image for Educational Website:**
---
### Constructing a 91% Confidence Interval
**Task:** Construct the 91% confidence interval estimate of the population proportion \( p \).
- **Given:**
- Sample size (\( n \)) = 300
- Number of successes in the sample = 198
- **Formula:**
The confidence interval for a population proportion can be calculated using the formula:
\[
\hat{p} \pm Z \cdot \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}
\]
Where:
- \(\hat{p}\) = sample proportion = \(\frac{\text{number of successes}}{n}\)
- \(Z\) is the Z-score corresponding to the confidence level (91%)
---
**Visual Explanation:**
- **Z-score:** The image shows a Z-score table or distribution graph indicating a Z-score of approximately 1.70 (corresponding to 91% confidence level).
### Input:
**Enter the interval in the provided fields:**
\[ < p < \]
---
Use this structure to determine the confidence interval and enter the values in the blanks provided.
**Note:** Ensure calculations are accurate for educational integrity.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
