Suppose 378 of 600 voters support a Presidential candidate. What is the variance of the sampling distribution of the proportion?
Suppose 378 of 600 voters support a Presidential candidate. What is the variance of the sampling distribution of the proportion?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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![**Question:**
Suppose 378 of 600 voters support a Presidential candidate. What is the variance of the sampling distribution of the proportion?
**Options:**
- a. 0.0004
- b. 0.0095
- c. 0.0197
- d. 0.2331
**Explanation:**
To calculate the variance of the sampling distribution of the proportion, you can use the formula for the variance of a proportion in a binomial distribution:
\[ \text{Variance} = \frac{p(1-p)}{n} \]
where:
- \( p \) is the sample proportion (378/600),
- \( n \) is the sample size (600).
By substituting the values into the formula, you can find the correct answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61cbc84a-69a3-46ec-8b3f-9aab7c31a27b%2F5fe097e4-bf26-47df-8390-07951ce28de1%2Fd1hihvn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Suppose 378 of 600 voters support a Presidential candidate. What is the variance of the sampling distribution of the proportion?
**Options:**
- a. 0.0004
- b. 0.0095
- c. 0.0197
- d. 0.2331
**Explanation:**
To calculate the variance of the sampling distribution of the proportion, you can use the formula for the variance of a proportion in a binomial distribution:
\[ \text{Variance} = \frac{p(1-p)}{n} \]
where:
- \( p \) is the sample proportion (378/600),
- \( n \) is the sample size (600).
By substituting the values into the formula, you can find the correct answer.
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