***Poll Analysis and Confidence Interval Calculation***In a recent poll, 396 out of 500 randomly selected voters expressed their preference for a particular candidate. To understand the reliability of this data, we need to calculate a 90% confidence interval for the population proportion, denoted as \( p \).### Steps to Calculate:1. **Sample Proportion (\( \hat{p} \)):** \[ \hat{p} = \frac{396}{500} \]2. **Standard Error (SE):** \[ SE = \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \] where \( n = 500 \).3. **Z-Score for 90% Confidence:** Typically, the Z-score for a 90% confidence interval is 1.645.4. **Confidence Interval Calculation:** \[ \text{Confidence Interval} = \hat{p} \pm (Z \times SE) \]**Enter your calculations in the boxes provided to find the lower and upper bounds of the confidence interval for \( p \):**\[ \boxed{\_\_} \leq p \leq \boxed{\_\_}\]This process helps determine the range within which we can confidently state the true population proportion falls, given the sample data.

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Answered: A poll is taken in which 396 out of 500…

A poll is taken in which 396 out of 500 randomly selected voters indicated their preference for a certain candidate. Find a 90% confidence interval for p.

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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