Suppose that random samples of US workers commute to work was documented. The results of the study are below. Method of Transportation Solo Public City Carpooling Other Driving Transportation Total New York 62 11 13 14 100 D.C. 40 18 10 12 80 Total 102 29 21 23 180 a) Build a 95% confidence interval for the proportion of individuals who carpool in these two cities. (Hint: you should focus on the marginal probability of carpooling) 5) Interpret your interval in context of the problem. =) kestui chers are not nappy with the margin of error from your confidence interval. They wish to repeat the process only this time they want to ensure a maximum margin of error. What is the minimum sample size needed to ensure the margin of error is at most 0.02?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Suppose that random samples of US workers from 2 major cities were collected, and the way they commute to work was documented. The results of the study are below.
Suppose that random samples of US workers from 2 major cities were collected, and the way they
commute to work was documented. The results of the study are below.
Method of Transportation
Solo
Public
City
Carpooling Other
Driving
Transportation
Total
New
62
11
13
14
100
York
D.C.
40
18
10
12
80
Total
102
29
21
23
180
a) Build a 95% confidence interval for the proportion of individuals who carpool in these two cities.
(Hint: you should focus on the marginal probability of carpooling)
b) Interpret your interval in context of the problem.
c) kestui chers are not nappy with the margin of error from your confidence interval. They wish to
repeat the process only this time they want to ensure a maximum margin of error. What is the
minimum sample size needed to ensure the margin of error is at most 0.02?
Transcribed Image Text:Suppose that random samples of US workers from 2 major cities were collected, and the way they commute to work was documented. The results of the study are below. Method of Transportation Solo Public City Carpooling Other Driving Transportation Total New 62 11 13 14 100 York D.C. 40 18 10 12 80 Total 102 29 21 23 180 a) Build a 95% confidence interval for the proportion of individuals who carpool in these two cities. (Hint: you should focus on the marginal probability of carpooling) b) Interpret your interval in context of the problem. c) kestui chers are not nappy with the margin of error from your confidence interval. They wish to repeat the process only this time they want to ensure a maximum margin of error. What is the minimum sample size needed to ensure the margin of error is at most 0.02?
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