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and p represent? If the confidence level is 99%, what is the value öl a? W.... 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 the margin of error. the population proportion. the sample proportion

and p represent? If the confidence level is 99%, what is the value öl a? W.... 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 the margin of error. the population proportion. the sample proportion

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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I need p, q, & n Thankyou !
**Text Transcription for Educational Website** --- 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 \(\alpha\)? - 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 \(p\) is __________ *Dropdown options for selecting values description:* - the margin of error - the population proportion - the sample proportion - found from evaluating \(1 - \hat{p}\) - the sample size --- **Explanation of Dropdown Options:** - "The margin of error" refers to the ± 5 percentage points given in the information. - "The population proportion" is not directly given and typically applies to a broader context beyond the sample. - "The sample proportion" is \(\hat{p}\), representing the percentage of respondents who chose chocolate pie (14%). - "Found from evaluating \(1 - \hat{p}\)" is for \(\hat{q}\), which represents the proportion of respondents who did not choose chocolate pie. - "The sample size" is \(n\), the number of respondents participating in the poll (500). **Formula Description:** - \(\alpha\) (alpha) is the significance level, calculated as \(1 - \text{confidence level}\). For a 99% confidence level, \(\alpha = 0.01\).
Transcribed Image Text:**Text Transcription for Educational Website** --- 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 \(\alpha\)? - 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 \(p\) is __________ *Dropdown options for selecting values description:* - the margin of error - the population proportion - the sample proportion - found from evaluating \(1 - \hat{p}\) - the sample size --- **Explanation of Dropdown Options:** - "The margin of error" refers to the ± 5 percentage points given in the information. - "The population proportion" is not directly given and typically applies to a broader context beyond the sample. - "The sample proportion" is \(\hat{p}\), representing the percentage of respondents who chose chocolate pie (14%). - "Found from evaluating \(1 - \hat{p}\)" is for \(\hat{q}\), which represents the proportion of respondents who did not choose chocolate pie. - "The sample size" is \(n\), the number of respondents participating in the poll (500). **Formula Description:** - \(\alpha\) (alpha) is the significance level, calculated as \(1 - \text{confidence level}\). For a 99% confidence level, \(\alpha = 0.01\).
**Transcription:** 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 \( \alpha \)? - 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... - the sample proportion. - the sample size. - the population proportion. - found from evaluating \( 1 - \hat{p} \). - the margin of error. --- **Explanation:** This text appears to be from an educational source focusing on statistics, specifically interpreting results from a sample survey. It asks the reader to infer statistical terms and values from a given problem related to a poll of favorite pies among 500 adults. Key values to determine: - \( \hat{p} \): Sample proportion (percentage of respondents choosing chocolate pie). - \( \hat{q} \): Complement of \( \hat{p} \), calculated as \( 1 - \hat{p} \). - \( n \): Sample size (total number of respondents). - \( E \): Margin of error provided in the results. - \( p \): Contextual definition needed for accurate answer (could be population proportion). - \( \alpha \): Significance level derived from the confidence level (here, 99%). The options presented likely relate to understanding which statistical concepts correspond to these letters in the context of a poll result.
Transcribed Image Text:**Transcription:** 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 \( \alpha \)? - 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... - the sample proportion. - the sample size. - the population proportion. - found from evaluating \( 1 - \hat{p} \). - the margin of error. --- **Explanation:** This text appears to be from an educational source focusing on statistics, specifically interpreting results from a sample survey. It asks the reader to infer statistical terms and values from a given problem related to a poll of favorite pies among 500 adults. Key values to determine: - \( \hat{p} \): Sample proportion (percentage of respondents choosing chocolate pie). - \( \hat{q} \): Complement of \( \hat{p} \), calculated as \( 1 - \hat{p} \). - \( n \): Sample size (total number of respondents). - \( E \): Margin of error provided in the results. - \( p \): Contextual definition needed for accurate answer (could be population proportion). - \( \alpha \): Significance level derived from the confidence level (here, 99%). The options presented likely relate to understanding which statistical concepts correspond to these letters in the context of a poll result.
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