A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 11% chose chocolate pie, and the margin of error was given as ±4 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 sample proportion. The value of q is found from evaluating 1- p. The value of n is the sample size. The value of E is the margin of error. The value of p is the population proportion. If the confidence level is 99%, what is the value of a? (Type an integer or a decimal. Do not round.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Understanding Sampling Results and Confidence Intervals**

A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 11% chose chocolate pie, and the margin of error was given as ± 4 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 \( \alpha \)?

**Key Terms in Statistics:**

- **The value of \( \hat{p} \)**: The sample proportion.
- **The value of \( \hat{q} \)**: Found from evaluating \(1 - \hat{p} \).
- **The value of \( n \)**: The sample size.
- **The value of \( E \)**: The margin of error.
- **The value of \( p \)**: The population proportion.

**Sample Calculation:**

If the confidence level is 99%, what is the value of \( \alpha \)?

**Calculation for \( \alpha \):**

\[ \alpha = 1 - \text{Confidence Level} \]
\[ \alpha = 1 - 0.99 \]
\[ \alpha = 0.01 \]

**Answer:**

\(\alpha =\) [Input the value]

\(\boxed{0.01}\)
Transcribed Image Text:**Understanding Sampling Results and Confidence Intervals** A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 11% chose chocolate pie, and the margin of error was given as ± 4 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 \( \alpha \)? **Key Terms in Statistics:** - **The value of \( \hat{p} \)**: The sample proportion. - **The value of \( \hat{q} \)**: Found from evaluating \(1 - \hat{p} \). - **The value of \( n \)**: The sample size. - **The value of \( E \)**: The margin of error. - **The value of \( p \)**: The population proportion. **Sample Calculation:** If the confidence level is 99%, what is the value of \( \alpha \)? **Calculation for \( \alpha \):** \[ \alpha = 1 - \text{Confidence Level} \] \[ \alpha = 1 - 0.99 \] \[ \alpha = 0.01 \] **Answer:** \(\alpha =\) [Input the value] \(\boxed{0.01}\)
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