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 +5 percentage points. What values do p, q, n, E, and p represent? If the confidence level is 99%, what is the value of a? The value of p is The value of q is The value of n is The value of E is The value of p is found from evaluating 1-p the margin of error the sample proportion. the sample size the population proportion.
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 +5 percentage points. What values do p, q, n, E, and p represent? If the confidence level is 99%, what is the value of a? The value of p is The value of q is The value of n is The value of E is The value of p is found from evaluating 1-p the margin of error the sample proportion. the sample size the population proportion.
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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
Transcribed Image Text:The image contains a text related to a statistical problem involving a survey about favorite pies. Here is a transcription along with an explanation of the associated elements:
---
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 ±5 percentage points. What values do \( \hat{p}, \hat{q}, n, E, \) and \( \alpha \) represent? If the confidence level is 99%, what is the value of \( \alpha \)?
- The value of \( \hat{p} \) is:
- The value of \( \hat{q} \) is:
- The value of \( n \) is:
- The value of \( E \) is:
- The value of \( \alpha \) is:
A dropdown menu appears with the options:
- found from evaluating \( 1 - \hat{p} \).
- the margin of error.
- the sample proportion.
- the sample size.
- the population proportion.
---
### Explanation
- **\(\hat{p}\)**: Sample proportion of respondents who chose chocolate pie (14%).
- **\(\hat{q}\)**: Found from evaluating \(1 - \hat{p}\).
- **\(n\)**: The sample size (500).
- **\(E\)**: The margin of error (±5 percentage points).
- **\(\alpha\)**: Related to the confidence level (99%). The confidence level is \(1 - \alpha\). For 99%, \(\alpha = 0.01\).
This exercise is intended to reinforce understanding of statistical concepts like sample proportion, margin of error, and confidence levels.
![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 ±5 percentage points. What values do \( \hat{p} \), \( \hat{q} \), \( n \), \( E \), and \( p \) represent? If the confidence level is 99%, what is the value of \( q \)?
- The value of \( \hat{p} \) is: [Dropdown options]
- The value of \( \hat{q} \) is: [Dropdown options]
- The value of \( n \) is: [Dropdown options]
- The value of \( E \) is: [Dropdown options]
- The value of \( p \) is: [Dropdown options]
Dropdown options include:
- the margin of error.
- the sample size.
- found from evaluating 1 − \( \hat{p} \).
- the sample proportion.
- the population proportion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3968614-8902-457d-b92c-663942199ce8%2F350ddc03-5922-482e-b93e-ee90c298c402%2Fviub7it_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 ±5 percentage points. What values do \( \hat{p} \), \( \hat{q} \), \( n \), \( E \), and \( p \) represent? If the confidence level is 99%, what is the value of \( q \)?
- The value of \( \hat{p} \) is: [Dropdown options]
- The value of \( \hat{q} \) is: [Dropdown options]
- The value of \( n \) is: [Dropdown options]
- The value of \( E \) is: [Dropdown options]
- The value of \( p \) is: [Dropdown options]
Dropdown options include:
- the margin of error.
- the sample size.
- found from evaluating 1 − \( \hat{p} \).
- the sample proportion.
- the population proportion.
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