Suppose a random sample of 5804 physicians in Colorado showed that 3145 provided at least some charity care. Let p represent the proportion of all Colorado physicians who provide some charity care. Find a point estimate for p. Round your answer to four decimal places. Op=0.6650 Op=0.5419 Op=0.4581 Op=1.0000 p=0.0000
Suppose a random sample of 5804 physicians in Colorado showed that 3145 provided at least some charity care. Let p represent the proportion of all Colorado physicians who provide some charity care. Find a point estimate for p. Round your answer to four decimal places. Op=0.6650 Op=0.5419 Op=0.4581 Op=1.0000 p=0.0000
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![**Sample Proportion Estimate Exercise**
In a study involving a random sample of 5804 physicians from Colorado, it was found that 3145 of these physicians provided at least some charity care. Let \( p \) represent the proportion of all Colorado physicians who provide some charity care.
Your task is to find a point estimate for \( p \). Round your answer to four decimal places.
**Choices:**
1. \( \hat{p} = 0.6650 \)
2. \( \hat{p} = 0.5419 \)
3. \( \hat{p} = 0.4581 \)
4. \( \hat{p} = 1.0000 \)
5. \( \hat{p} = 0.0000 \)
**Hint:** The point estimate for \( p \) can be calculated using the formula for the sample proportion:
\[ \hat{p} = \frac{\text{number of physicians providing charity care}}{\text{total number of physicians in the sample}} \]
In this case:
\[ \hat{p} = \frac{3145}{5804} \]
Calculate this ratio, then round your answer to four decimal places to find the correct \( \hat{p} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6805edd-9acc-4ccd-9c7a-22df1558ea0b%2F8804e1a0-e1e9-4e67-b67b-5db03fd0a5be%2Fyc6boa9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Sample Proportion Estimate Exercise**
In a study involving a random sample of 5804 physicians from Colorado, it was found that 3145 of these physicians provided at least some charity care. Let \( p \) represent the proportion of all Colorado physicians who provide some charity care.
Your task is to find a point estimate for \( p \). Round your answer to four decimal places.
**Choices:**
1. \( \hat{p} = 0.6650 \)
2. \( \hat{p} = 0.5419 \)
3. \( \hat{p} = 0.4581 \)
4. \( \hat{p} = 1.0000 \)
5. \( \hat{p} = 0.0000 \)
**Hint:** The point estimate for \( p \) can be calculated using the formula for the sample proportion:
\[ \hat{p} = \frac{\text{number of physicians providing charity care}}{\text{total number of physicians in the sample}} \]
In this case:
\[ \hat{p} = \frac{3145}{5804} \]
Calculate this ratio, then round your answer to four decimal places to find the correct \( \hat{p} \).
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