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.

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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.
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.
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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