Let p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1261 adults from country A, 520 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.)
Let p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1261 adults from country A, 520 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.)
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![**Topic: Point Estimates for Population Proportion**
---
**Context:**
Let \( p \) be the population proportion for the following condition. We are tasked with finding the point estimates for \( p \) and \( q \).
In a survey of 1261 adults from Country A, 520 individuals expressed that they were not confident about the safety of the food they consume in Country A.
**Objective:**
Calculate the point estimate for \( p \), denoted as \( \hat{p} \).
\[ \text{The point estimate for } p, \, \hat{p}, \, \text{is } \text{[Box].} \]
*(Please round your answer to three decimal places as needed.)*
---
**Steps to Calculate the Point Estimate (\( \hat{p} \)):**
1. **Identify the Sample Proportion**:
The sample proportion, \( \hat{p} \), is calculated using the formula:
\[
\hat{p} = \frac{x}{n}
\]
where \( x \) is the number of favorable outcomes, and \( n \) is the total number of observations.
2. **Apply the Values**:
In this scenario:
- \( x = 520 \)
- \( n = 1261 \)
3. **Calculate**:
\[
\hat{p} = \frac{520}{1261}
\]
- Use a calculator to perform the division and round to three decimal places.
---
*Please perform the calculation and substitute the result in the box provided.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09fc76f0-690c-4548-a807-d9841947f510%2Fbf05a757-0a59-4433-bd0a-b4ee511cc271%2Fzw1cv6n_processed.png&w=3840&q=75)
Transcribed Image Text:**Topic: Point Estimates for Population Proportion**
---
**Context:**
Let \( p \) be the population proportion for the following condition. We are tasked with finding the point estimates for \( p \) and \( q \).
In a survey of 1261 adults from Country A, 520 individuals expressed that they were not confident about the safety of the food they consume in Country A.
**Objective:**
Calculate the point estimate for \( p \), denoted as \( \hat{p} \).
\[ \text{The point estimate for } p, \, \hat{p}, \, \text{is } \text{[Box].} \]
*(Please round your answer to three decimal places as needed.)*
---
**Steps to Calculate the Point Estimate (\( \hat{p} \)):**
1. **Identify the Sample Proportion**:
The sample proportion, \( \hat{p} \), is calculated using the formula:
\[
\hat{p} = \frac{x}{n}
\]
where \( x \) is the number of favorable outcomes, and \( n \) is the total number of observations.
2. **Apply the Values**:
In this scenario:
- \( x = 520 \)
- \( n = 1261 \)
3. **Calculate**:
\[
\hat{p} = \frac{520}{1261}
\]
- Use a calculator to perform the division and round to three decimal places.
---
*Please perform the calculation and substitute the result in the box provided.*
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