MATLAB: An Introduction with Applications
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Author: Amos Gilat
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Transcribed Image Text:**Transcription for Educational Website**
Title: Expressing Confidence Intervals
Content:
To express the confidence interval (0.0847, 0.1530) in the form \( \hat{p} \pm E \), follow these steps:
1. **Identify the Midpoint (\( \hat{p} \)):**
- Calculate the midpoint of the confidence interval to find \( \hat{p} \).
- Formula: \( \hat{p} = \frac{0.0847 + 0.1530}{2} \).
2. **Calculate the Margin of Error (\( E \)):**
- Determine the margin of error by finding the difference between the midpoint and either endpoint of the interval.
- Formula: \( E = 0.1530 - \hat{p} \) or \( \hat{p} - 0.0847 \).
By following these steps, you can express the given confidence interval in the form \( \hat{p} \pm E \).
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