Express the confidence interval (0.056,0.130) in the form of p- E
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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Transcribed Image Text:**Confidence Interval Expression**
Express the confidence interval (0.056, 0.130) in the form \(\hat{p} - E < p < \hat{p} + E\).
- Input Fields:
- Box 1: < \(p\) <
- Box 2: (Type integers or decimals.)
**Instructions:**
To express the confidence interval as \(\hat{p} - E < p < \hat{p} + E\), follow these steps:
1. **Calculate \(\hat{p}\) (Point Estimate):**
- \(\hat{p} = \frac{0.056 + 0.130}{2} = 0.093\)
2. **Calculate \(E\) (Margin of Error):**
- \(E = 0.130 - 0.093 = 0.037\)
3. **Express the Interval:**
- \(0.093 - 0.037 < p < 0.093 + 0.037\)
- Simplified: \(0.056 < p < 0.130\)
Use the calculated values in the input fields to complete the expression.
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