The pandemic has brought on many challenges, and job loss is certainly one of them, but economists share optimism around the latest release of the national unemployment rate. As of March 2021 the national unemployment rate is 6.2%. A national agency hoping to help those facing job loss selects a random sample of 500 working-age persons and finds that 10.2% of those surveyed are unemployed. a. What is the probability of obtaining an unemployment rate of 10.2% or more for a given sample?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The pandemic has brought on many challenges, and job loss is certainly one of them, but economists
share optimism around the latest release of the national unemployment rate. As of March 2021 the
national unemployment rate is 6.2%.
A national agency hoping to help those facing job loss selects a random sample of 500 working-age
persons and finds that 10.2% of those surveyed are unemployed.
a. What is the probability of obtaining an unemployment rate of 10.2% or more for a given sample?
Transcribed Image Text:The pandemic has brought on many challenges, and job loss is certainly one of them, but economists share optimism around the latest release of the national unemployment rate. As of March 2021 the national unemployment rate is 6.2%. A national agency hoping to help those facing job loss selects a random sample of 500 working-age persons and finds that 10.2% of those surveyed are unemployed. a. What is the probability of obtaining an unemployment rate of 10.2% or more for a given sample?
As of March 2021 Nevada's current unemployment rate is 8.3%. Noticing this high rate, the national
agency plans to randomly survey 200 working-age people from Nevada.
b. Describe the sampling distribution of the difference in sample proportions (National
unemployment (n=500) minus Nevada unemployment (n=200)). Justify your description.
Transcribed Image Text:As of March 2021 Nevada's current unemployment rate is 8.3%. Noticing this high rate, the national agency plans to randomly survey 200 working-age people from Nevada. b. Describe the sampling distribution of the difference in sample proportions (National unemployment (n=500) minus Nevada unemployment (n=200)). Justify your description.
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