Two reporters are both interested in finding the proportion of people in town who are unemployed. They each collect a random sample and use the proportion of unemployed people in the sample to run 100 simulations to determine a margin of error. The first reporter claims the proportion of unemployed people in town is 0.045 with a margin of error of 0.011. The second reporter claims the proportion of unemployed people in town is 0.037 with a margin of error of 0.02.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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Two reporters are both interested in finding the proportion of people in town who are unemployed. They each collect a random sample and use the proportion of unemployed people in the sample to run 100 simulations to determine a margin of error. The first reporter claims the proportion of unemployed people in town is 0.045 with a margin of error of 0.011. The second reporter claims the proportion of unemployed people in town is 0.037 with a margin of error of 0.02.

 
 

3) Why do you think the estimated proportion of unemployed people in town is different for the 2 reporters?

 
 

4) Why do you think the margin of error is different for the 2 reporters?

 
 

 

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