For this problem, carry at least four digits after the decimal in your cakculati

Question

For this problem, carry at least four digits after the decimal in your cakculations. Answers may vary slightly due to rounding. A random sample of 5643 physicians in Colorado showed that 3116 provided at least some charity care (ie., treated poor people at no cost) (a Let ? represent the proportion of al Colorado physicians who provide some charity are. 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 Submit Answer Save Progress ee View Previous Question Question 2 of 15 View Next Question > Home My Assignments

Explanation / Answer

a)

n = 5643

p = 3116/5643 = 0.5522

b)

CI for 99%

z-value of 99% CI = 2.5758

SE = sqrt(p*(1-p)/n)

= sqrt(0.5522*(1-0.5522)/5643)

= 0.00662

ME = z*SE = 2.5758*0.00662 = 0.01705

Lower Limit = p - ME = 0.5522 - 0.01705 = 0.535

Upper Limit = p + ME = 0.5522 + 0.01705 = 0.569

99% CI (0.535 , 0.569)

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