22 A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 14% chose chocolate pie, and the margin of error was given as ±3 percentage points. What values do \( p \), \( q \), \( n \), \( E \), and \( p̂ \) represent? If the confidence level is 99%, what is the value of \( α \)?- The value of \( p̂ \) is [dropdown].- The value of \( q \) is [dropdown].- The value of \( n \) is [dropdown].- The value of \( E \) is [dropdown].- The value of \( p \) is [dropdown].If the confidence level is 99%, what is the value of \( α \)?\( α = \) [input box] (Type an integer or a decimal. Do not round.)\[ \square \] [ ] Type an integer or a decimal. Do not round.(Note: This explanation is tailored assuming a dropdown for values selection and an input box for calculating α.) ### Survey AnalysisA magazine conducted a poll of 500 adults to identify their favorite pie. Among the 500 respondents, 14% chose chocolate pie. The margin of error is reported as ± 3 percentage points. This document provides guidance on identifying the statistical values mentioned in the survey analysis.1. **Value of \( \hat{p} \):** - \( \hat{p} \) represents the sample proportion. In this survey, \( \hat{p} \) is 0.14 (or 14%).2. **Value of \( q \):** - \( q \) is found by evaluating \( 1 - \hat{p} \). Therefore, \( q = 1 - 0.14 = 0.86 \).3. **Value of \( n \):** - \( n \) is the sample size, which is 500 in this survey.4. **Value of \( E \):** - \( E \) is the margin of error, given as ± 3 percentage points.5. **Value of \( p \):** - \( p \) represents the population proportion, which needs to be estimated from the sample proportion \( \hat{p} \).### Confidence Level CalculationIf the confidence level is 99%, what is the value of \( \alpha \)?- The confidence level of 99% corresponds to a confidence coefficient of 0.99.- The value of \( \alpha \) is calculated as \( 1 - \text{confidence level} \), so \( \alpha = 1 - 0.99 = 0.01 \).This information helps interpret the results and understand the statistical parameters used in estimating public preferences.

Given : A magazino provided results from a pol of 500 adults who were asked to identify their…

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