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For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

A random sample of 5724 physicians in Colorado showed that 3089 provided at least some charity care (i.e., treated poor people at no cost).

(a) 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.)

(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.)

lower limit:

upper limit:

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