**Population Proportion Analysis****Objective**: Determine the point estimate for the population proportion $ p $ in the given condition.**Study Details**: - **Sample Size**: 4803 adults from country A- **Finding**: 2666 believe that mainstream media prioritizes making money over telling the truth.**Task**: Calculate the point estimate for $ p $, denoted as $\hat{p}$.**Formula**:\[\hat{p} = \frac{x}{n}\]where:- $ x $ = number of adults expressing the studied opinion (2666)- $ n $ = total number of adults surveyed (4803)**Instruction**: - Compute the result and round to three decimal places if necessary.**Calculation**:\[\hat{p} = \frac{2666}{4803} \approx 0.555\]**Conclusion**: The point estimate $\hat{p}$ for the population proportion $ p $ is approximately 0.555.**Note**: This example demonstrates how to calculate a point estimate for a population proportion based on survey data. The process involves dividing the number of affirmative responses by the total sample size. Ensure accurate calculations and appropriate rounding to maintain precision.

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Let p be the population proportion for the following condition. Find the point estimates for p and q. A study of 4803 adults from country A, 2666 think mainstream media is more interested in making money than in telling the truth. 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. A study of 4803 adults from country A, 2666 think mainstream media is more interested in making money than in telling the truth. The point estimate for p, p, is (Round to three decimal places as needed.)

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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**Population Proportion Analysis**

**Objective**: Determine the point estimate for the population proportion $ p $ in the given condition.

**Study Details**:
- **Sample Size**: 4803 adults from country A
- **Finding**: 2666 believe that mainstream media prioritizes making money over telling the truth.

**Task**: Calculate the point estimate for $ p $, denoted as $\hat{p}$.

**Formula**:
\[
\hat{p} = \frac{x}{n}
\]
where:
- $ x $ = number of adults expressing the studied opinion (2666)
- $ n $ = total number of adults surveyed (4803)

**Instruction**:
- Compute the result and round to three decimal places if necessary.

**Calculation**:
\[
\hat{p} = \frac{2666}{4803} \approx 0.555
\]

**Conclusion**: The point estimate $\hat{p}$ for the population proportion $ p $ is approximately 0.555.

**Note**: This example demonstrates how to calculate a point estimate for a population proportion based on survey data. The process involves dividing the number of affirmative responses by the total sample size. Ensure accurate calculations and appropriate rounding to maintain precision.

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