3. The article "Doctors Cite Burnout in Mistakes" (San Luis Obispo Tribune, March 5, 2002) reported that many doctors who are completing their residency have financial struggles that could interfere with training. In a sample of 115 residents, 38 reported that they worked moonlighting jobs and 22 reported a credit card debt of more than $3000. Suppose that it is reasonable to consider this sample of 115 as a random sample of all medical residents in the United States. a) Construct and interpret a 95% confidence interval for the proportion of U.S. medical residents who work moonlighting jobs. b) Construct and interpret a 90% confidence interval for the proportion of U.S. medical residents who have a credit card debt of more than $3000. c) Give two reasons why the confidence interval in Part (a) is wider than the confidence interval in Part (b).

3. The article "Doctors Cite Burnout in Mistakes" (San Luis Obispo Tribune, March 5, 2002) reported that many doctors who are completing their residency have financial struggles that could interfere with training. In a sample of 115 residents, 38 reported that they worked moonlighting jobs and 22 reported a credit card debt of more than $3000. Suppose that it is reasonable to consider this sample of 115 as a random sample of all medical residents in the United States. a) Construct and interpret a 95% confidence interval for the proportion of U.S. medical residents who work moonlighting jobs. b) Construct and interpret a 90% confidence interval for the proportion of U.S. medical residents who have a credit card debt of more than $3000. c) Give two reasons why the confidence interval in Part (a) is wider than the confidence interval in Part (b).

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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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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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3. The article "Doctors Cite Burnout in Mistakes" (San Luis Obispo Tribune, March 5, 2002) reported that
many doctors who are completing their residency have financial struggles that could interfere with training.
In a sample of115 residents, 38 reported that they worked moonlighting jobs and 22 reported a credit card
debt of more than $3000. Suppose that it is reasonable to consider this sample of 115 as a random sample of
all medical residents in the United States.
a) Construct and interpret a 95% confidence interval for the proportion of U.S. medical residents who work
moonlighting jobs.
b) Construct and interpret a 90% confidence interval for the proportion of U.S. medical residents who have
a credit card debt of more than $3000.
c) Give two reasons why the confidence interval in Part (a) is wider than the confidence interval in Part (b).

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