6. My Notes Ask Your Teacher Question Details For this problem, carry at least f

Question

6. My Notes Ask Your Teacher Question Details 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 5535 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

Explanation / Answer

Solution :
n = 5535
x = 3089
p cap = x / n = 0.5581
a)
the point estimate for p = 0.5581
b)
99% confidence interval
Z = 2.58 ( using table )
Margin of error E = Z*SQRT( (p cap * ( 1 – p cap ))/ n ) = 0.0172
Lower Limit = p cap – E = 0.5409
Upper Limit = p cap + E = 0.5753

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