Choose one statement for each question **Title: Understanding Statistical Terms from a Poll on Favorite Pie**A magazine conducted a poll involving 1000 adults to identify their favorite pie. Out of the 1000 respondents, 12% chose chocolate pie. Additionally, the margin of error was provided as ± 3 percentage points. This example serves to explain various statistical terms used to interpret the poll results. Let's explore the values of \(\hat{p}\), \(\hat{q}\), \(n\), \(E\), and \(p\), and understand their significance. Furthermore, we will determine the value of \(\alpha\) for a 90% confidence level.### Definitions and Values:1. **\(\hat{p}\) (Sample Proportion):** - \(\hat{p}\) is the proportion of the sample that chose chocolate pie. - Given in the poll: \(\hat{p} = 0.12\) or 12%.2. **\(\hat{q}\) (Complement of Sample Proportion):** - \(\hat{q}\) represents the proportion of the sample that did not choose chocolate pie. - Calculated as \(1 - \hat{p}\): \[\hat{q} = 1 - 0.12 = 0.88\]3. **\(n\) (Sample Size):** - The number of respondents surveyed. - Given in the poll: \(n = 1000\).4. **\(E\) (Margin of Error):** - The margin of error, representing the range within which the true population proportion is expected to lie. - Given in the poll: \(E = 3\%\) or \(0.03\). 5. **\(p\) (Population Proportion):** - The true proportion of the population that prefers chocolate pie, which can be estimated using \(\hat{p}\).### Confidence Level and Alpha (\(\alpha\)):- **Confidence Level:** The degree of certainty that the population proportion lies within the margin of error. - For a 90% confidence level, \(\alpha = 1 - \text{confidence level}\): \[\alpha = 1 - 0.90 = 0.10\]Based on this information, the values are:- \(\hat{p} = 0.12\

Name: Choose one statement for each question **Title: Understanding Statisti
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Choose one statement for each question **Title: Understanding Statistical Terms from a Poll on Favorite Pie**A magazine conducted a poll involving 1000 adults to identify their favorite pie. Out of the 1000 respondents, 12% chose chocolate pie. Addit