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 5670 physicians in Colorado showed that 3332 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 p (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. O we are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval. O we are 1% confident that the true proportion of Colorado physicians providing at least some charity care falls above this interval. O We are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls outside this interval. O We are 1% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval.
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 5670 physicians in Colorado showed that 3332 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 p (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. O we are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval. O we are 1% confident that the true proportion of Colorado physicians providing at least some charity care falls above this interval. O We are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls outside this interval. O We are 1% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![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 5,670 physicians in Colorado showed that 3,332 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.)
[Answer Box]
(b) Find a 99% confidence interval for \( p \). (Round your answers to three decimal places.)
- Lower limit: [Answer Box]
- Upper limit: [Answer Box]
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 1% confident that the true proportion of Colorado physicians providing at least some charity care falls above 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.
(c) Is the normal approximation to the binomial justified in this problem? Explain.
- Yes; \( np > 5 \) and \( nq > 5 \).
- No; \( np < 5 \) and \( nq > 5 \).
- Yes; \( np > 5 \) and \( nq > 5 \).
- No; \( np > 5 \) and \( nq < 5 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F263d6acc-03b4-45b5-8ce2-d676aa9ac999%2F41a93790-9d19-483c-b59e-94316e671bb1%2Fr4yjryd_processed.png&w=3840&q=75)
Transcribed Image Text: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 5,670 physicians in Colorado showed that 3,332 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.)
[Answer Box]
(b) Find a 99% confidence interval for \( p \). (Round your answers to three decimal places.)
- Lower limit: [Answer Box]
- Upper limit: [Answer Box]
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 1% confident that the true proportion of Colorado physicians providing at least some charity care falls above 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.
(c) Is the normal approximation to the binomial justified in this problem? Explain.
- Yes; \( np > 5 \) and \( nq > 5 \).
- No; \( np < 5 \) and \( nq > 5 \).
- Yes; \( np > 5 \) and \( nq > 5 \).
- No; \( np > 5 \) and \( nq < 5 \).
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Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case you require the unanswered parts also, kindly re-post that parts separately.
a.
From the given information, a random sample of 5670 physicians in Colorado showed that 3332 provided at least some charity care.
That is, x=3332 and n=5670.
Let p represent the proportion of all Colorado physicians who provide some charity care.
The point estimate of p is,
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