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 5913 physicians in Colorado showed that 3116 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 99% 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 1% 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. Yes; np < 5 and nq < 5. Yes; np > 5 and nq > 5. No; np < 5 and nq > 5. No; np > 5 and nq < 5.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

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 5913 physicians in Colorado showed that 3116 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 99% 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 1% 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.}

_{Yes; np < 5 and nq < 5.}
_{Yes; np > 5 and nq > 5.}
_{No; np < 5 and nq > 5.}
_{No; np > 5 and nq < 5.}

Expert Solution

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions