In: Statistics and Probability
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 5481 physicians in Colorado showed that 3170
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.)
Give a brief explanation of the meaning of your answer in the context of this problem.
(c) Is the normal approximation to the binomial justified in this problem? Explain.