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.*
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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