Express the confidence interval 0.444

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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**Transcription and Explanation for Educational Use**

**Title: Confidence Interval Conversion**

**Task:**
Express the confidence interval \(0.444 < p < 0.888\) in the form \(p \pm E\).

**Input Fields:**
- \(p =\) [Text box]
- \(E =\) [Text box]

**Instructions:**
Enter your answer in each of the answer boxes.

**Explanation:**
The task involves converting a confidence interval into a format that expresses the mean (\(p\)) and the margin of error (\(E\)). 

1. **Determine the Point Estimate (\(p\)):**
   - The point estimate, \(p\), is the midpoint of the given interval.
   - To find it, calculate \(\frac{0.444 + 0.888}{2}\).

2. **Determine the Margin of Error (\(E\)):**
   - The margin of error, \(E\), is the difference between the point estimate and the lower (or upper) limit of the interval.
   - To find it, calculate \(0.888 - p\) (or \(p - 0.444\)).

Once determined, enter the values in the respective text boxes labeled \(p =\) and \(E =\).
Transcribed Image Text:**Transcription and Explanation for Educational Use** **Title: Confidence Interval Conversion** **Task:** Express the confidence interval \(0.444 < p < 0.888\) in the form \(p \pm E\). **Input Fields:** - \(p =\) [Text box] - \(E =\) [Text box] **Instructions:** Enter your answer in each of the answer boxes. **Explanation:** The task involves converting a confidence interval into a format that expresses the mean (\(p\)) and the margin of error (\(E\)). 1. **Determine the Point Estimate (\(p\)):** - The point estimate, \(p\), is the midpoint of the given interval. - To find it, calculate \(\frac{0.444 + 0.888}{2}\). 2. **Determine the Margin of Error (\(E\)):** - The margin of error, \(E\), is the difference between the point estimate and the lower (or upper) limit of the interval. - To find it, calculate \(0.888 - p\) (or \(p - 0.444\)). Once determined, enter the values in the respective text boxes labeled \(p =\) and \(E =\).
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