Let p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1595 adults from country A, 568 said that they were not confident that the food they eat in country A is safe. The point estimate for p, p, is (Round to three decimal places as needed.) The point estimate for q, q, is (Round to three decimal places as needed.)
Let p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1595 adults from country A, 568 said that they were not confident that the food they eat in country A is safe. The point estimate for p, p, is (Round to three decimal places as needed.) The point estimate for q, q, is (Round to three decimal places as needed.)
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![**Title: Calculating Point Estimates for Population Proportions**
**Description:**
In statistical analyses, estimating population proportions is a common task. Here, we will find the point estimates for \( p \) and \( q \) in a specific scenario involving a survey.
**Scenario:**
Consider a survey conducted among 1595 adults from country A, where 568 individuals reported that they were not confident in the safety of the food they consume in the country.
**Task:**
- Let \( p \) represent the population proportion of adults who are not confident about the food safety in country A.
- Let \( q \) represent the population proportion of adults who are confident about the food safety in country A. Note that \( q = 1 - p \).
**Point Estimates:**
1. **Point estimate for \( p \), denoted as \(\hat{p}\):**
\[
\hat{p} = \frac{\text{Number of adults not confident}}{\text{Total number of adults surveyed}} = \frac{568}{1595}
\]
Calculate \(\hat{p}\) and round to three decimal places as needed.
2. **Point estimate for \( q \), denoted as \(\hat{q}\):**
Since \( q = 1 - p \):
\[
\hat{q} = 1 - \hat{p}
\]
Calculate \(\hat{q}\) and round to three decimal places as needed.
With these calculations, you'll be able to determine the approximate proportion of the population with specific views regarding food safety in country A.
**Next Steps:**
Finalize your calculations and proceed by clicking "Next" to interpret and apply these estimates in further analyses or discussions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69841bf7-b9f0-4fc9-8153-6ebe52f9298f%2Ff9f5e0d4-e123-495d-99f7-441e9444ce92%2Flr73v1o.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Calculating Point Estimates for Population Proportions**
**Description:**
In statistical analyses, estimating population proportions is a common task. Here, we will find the point estimates for \( p \) and \( q \) in a specific scenario involving a survey.
**Scenario:**
Consider a survey conducted among 1595 adults from country A, where 568 individuals reported that they were not confident in the safety of the food they consume in the country.
**Task:**
- Let \( p \) represent the population proportion of adults who are not confident about the food safety in country A.
- Let \( q \) represent the population proportion of adults who are confident about the food safety in country A. Note that \( q = 1 - p \).
**Point Estimates:**
1. **Point estimate for \( p \), denoted as \(\hat{p}\):**
\[
\hat{p} = \frac{\text{Number of adults not confident}}{\text{Total number of adults surveyed}} = \frac{568}{1595}
\]
Calculate \(\hat{p}\) and round to three decimal places as needed.
2. **Point estimate for \( q \), denoted as \(\hat{q}\):**
Since \( q = 1 - p \):
\[
\hat{q} = 1 - \hat{p}
\]
Calculate \(\hat{q}\) and round to three decimal places as needed.
With these calculations, you'll be able to determine the approximate proportion of the population with specific views regarding food safety in country A.
**Next Steps:**
Finalize your calculations and proceed by clicking "Next" to interpret and apply these estimates in further analyses or discussions.
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