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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
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An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines
appropriately across the city. She takes a simple random sample of 330 people living in East Vancouver and finds that 30 have recently had the flu.
For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of East Vancouver residents who have recently had the flu.
A. 9.09% (30/330) of East Vancouver residents have recently had the flu.
B. There is a 95% probability that the true proportion of East Vancouver residents who have recently had the flu equals 30/330.
C. If another random sample of 330 East Vancouver residents is drawn, there is a 95% probability that the sample proportion of East Vancouver residents who have recently had the flu equals 30/330.
D. If many random samples of 330 East Vancouver residents are drawn, 95% of the resulting confidence intervals will contain the value of the true proportion of East Vancouver residents who have recently had the
flu. ?
E. If many random samples of 330 East Vancouver residents are drawn, 95% of the resulting confidence intervals will contain the value 30/330.
Transcribed Image Text:An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 330 people living in East Vancouver and finds that 30 have recently had the flu. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of East Vancouver residents who have recently had the flu. A. 9.09% (30/330) of East Vancouver residents have recently had the flu. B. There is a 95% probability that the true proportion of East Vancouver residents who have recently had the flu equals 30/330. C. If another random sample of 330 East Vancouver residents is drawn, there is a 95% probability that the sample proportion of East Vancouver residents who have recently had the flu equals 30/330. D. If many random samples of 330 East Vancouver residents are drawn, 95% of the resulting confidence intervals will contain the value of the true proportion of East Vancouver residents who have recently had the flu. ? E. If many random samples of 330 East Vancouver residents are drawn, 95% of the resulting confidence intervals will contain the value 30/330.
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