Title: Estimating Population Proportion from Survey Data --- A survey of 100 fatal accidents showed that 31 were alcohol related. Find a point estimate for \( p \), the population proportion of accidents that were alcohol related. **Options:** - A. 0.449 - B. 0.237 - C. 0.69 - D. 0.31 *(The image shows a multiple-choice question with four options.)* **Explanation:** To calculate the point estimate for the population proportion \( p \), we use the formula for the sample proportion: \[ \hat{p} = \frac{x}{n} \] where \( x \) is the number of successes (alcohol-related accidents) and \( n \) is the sample size (total accidents surveyed). In this scenario: - \( x = 31 \) - \( n = 100 \) Plugging these values into the formula gives: \[ \hat{p} = \frac{31}{100} = 0.31 \] Thus, the correct answer is option D. 0.31. *(Note: There are no graphs or diagrams in the image.)*
Title: Estimating Population Proportion from Survey Data --- A survey of 100 fatal accidents showed that 31 were alcohol related. Find a point estimate for \( p \), the population proportion of accidents that were alcohol related. **Options:** - A. 0.449 - B. 0.237 - C. 0.69 - D. 0.31 *(The image shows a multiple-choice question with four options.)* **Explanation:** To calculate the point estimate for the population proportion \( p \), we use the formula for the sample proportion: \[ \hat{p} = \frac{x}{n} \] where \( x \) is the number of successes (alcohol-related accidents) and \( n \) is the sample size (total accidents surveyed). In this scenario: - \( x = 31 \) - \( n = 100 \) Plugging these values into the formula gives: \[ \hat{p} = \frac{31}{100} = 0.31 \] Thus, the correct answer is option D. 0.31. *(Note: There are no graphs or diagrams in the image.)*
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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![Title: Estimating Population Proportion from Survey Data
---
A survey of 100 fatal accidents showed that 31 were alcohol related. Find a point estimate for \( p \), the population proportion of accidents that were alcohol related.
**Options:**
- A. 0.449
- B. 0.237
- C. 0.69
- D. 0.31
*(The image shows a multiple-choice question with four options.)*
**Explanation:**
To calculate the point estimate for the population proportion \( p \), we use the formula for the sample proportion:
\[ \hat{p} = \frac{x}{n} \]
where \( x \) is the number of successes (alcohol-related accidents) and \( n \) is the sample size (total accidents surveyed).
In this scenario:
- \( x = 31 \)
- \( n = 100 \)
Plugging these values into the formula gives:
\[ \hat{p} = \frac{31}{100} = 0.31 \]
Thus, the correct answer is option D. 0.31.
*(Note: There are no graphs or diagrams in the image.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02fc7836-9552-4a6b-92e4-0fb932880b81%2F4b9089ff-8ca1-4306-9d88-ba542eda659e%2Fvpfhxl9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Title: Estimating Population Proportion from Survey Data
---
A survey of 100 fatal accidents showed that 31 were alcohol related. Find a point estimate for \( p \), the population proportion of accidents that were alcohol related.
**Options:**
- A. 0.449
- B. 0.237
- C. 0.69
- D. 0.31
*(The image shows a multiple-choice question with four options.)*
**Explanation:**
To calculate the point estimate for the population proportion \( p \), we use the formula for the sample proportion:
\[ \hat{p} = \frac{x}{n} \]
where \( x \) is the number of successes (alcohol-related accidents) and \( n \) is the sample size (total accidents surveyed).
In this scenario:
- \( x = 31 \)
- \( n = 100 \)
Plugging these values into the formula gives:
\[ \hat{p} = \frac{31}{100} = 0.31 \]
Thus, the correct answer is option D. 0.31.
*(Note: There are no graphs or diagrams in the image.)*
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