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

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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 \( \hat{p} \).
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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