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net/web/Student/Assignment-Resp 17742944 problem, carry at least four digits aft

ID: 3054737 • Letter: N

Question

net/web/Student/Assignment-Resp 17742944 problem, carry at least four digits after the decimal in your calculations. An Answers may vary slightly due to rounding A random sample of 5508 physicians in Colorado showed that 3305 provided at least some charity care (i.e., treated poor people at no cost). Let p represent the proportion of all Colorado physidans the proportion of all Colorado physdans who provide some charity care. Find a point some charity estimate for p. (Round your answer to four decimal places.) 0 6000 (b) Find a 99% confidence interval for p (Round your answers to three decimal places.) lower limit 0.617 upper limit 0.583 Give a bri ef explanation of the meaning of your answer in the context of this problen O 1% of the confidence intervals created usin g this method would include the true proportion of Colorad o physicians providing at least some charity care. 99% of the confidence intervals created using this method would include the true proportion of Colorado physicians providing at least some charity care. proportion of Colorado physcians providing at least some charity care O 19% of all confidence intervals would include the true O 99% of all confidence intervals would indude the true proportion of Colorado physicians providing at least some charity (e) Is the normal approximation to the binomial justified in this problem? Explain. O Yes; np 5 and nq > 5. O Type here to search

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

99% confidence interval results:

Hence,

99% confidence interval will be:

Lower limit = 0.583

Upper limit = 0.617

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 3305 5508 0.60003631 0.0066008837 0.58303356 0.61703906