6-7

6. [3.1/7.69 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 7.3.015.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 5751 physicians in Colorado showed that 2900 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 Give a brief explanation of the meaning of your answer in the context of this problem. We are 1% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval. We are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls outside this interval. . We are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval. We are 1% confident that the true proportion of Colorado physicians providing at least some charity care falls above this interval. (c) Is the normal approximation to the binomial justified in this problem? Explain. O No; np 5. Yes; np 5 and nq > 5. O No; np > 5 and nq 5. Yes; np > 5 and nq > 5. O No; np > 5 and nq