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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.)*

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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.)*
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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