**Understanding Confidence Intervals for Population Proportions**A confidence interval for a population proportion \( p \) has been given. To determine crucial statistical measures, we ask: what was the sample proportion, and what is the margin of error?**Given Confidence Interval:**\[ 0.74 < p < 0.8 \]**Questions:**- What is the sample proportion (\(\hat{p}\))?- What is the margin of error?Use the provided space to input your calculations:1. **Sample Proportion (\(\hat{p}\)):** \(\hat{p} =\) [Input Box]2. **Margin of Error:** Margin of error = [Input Box]**Calculating Sample Proportion:**The sample proportion (\(\hat{p}\)) is the midpoint of the given confidence interval:\[\hat{p} = \frac{0.74 + 0.8}{2}\]**Calculating Margin of Error:**The margin of error is half the width of the confidence interval:\[\text{Margin of error} = \frac{0.8 - 0.74}{2}\]By solving these equations, you will gain insights into the reliability and precision of your data estimates.

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Math

Statistics

A confidence interval for a population proportion p has been given. What was the sample proportion and what is the margin of error? 0.74 < p < 0.8

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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