MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**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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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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