Problem 4 A sampling of political candidates, 200 randomly chosen from the West and 200 from the East, was classified according to whether the candidate received backing by a national labor union and whether the candidate won. In the West, 116 winners had union backing, and in the East, 142 winners were backed by a national union. a) Estimate the difference between the proportions of union-backed winners in the West versus the East. Use a 95% confidence interval and interpret your results.

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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Problem 4
A sampling of political candidates, 200 randomly chosen from the West and 200 from the East,
was classified according to whether the candidate received backing by a national labor union and
whether the candidate won. In the West, 116 winners had union backing, and in the East, 142
winners were backed by a national union.
a) Estimate the difference between the proportions of union-backed winners in the West versus
the East. Use a 95% confidence interval and interpret your results.
b) Within what limits would you expect the difference of the two population proportion to lie,
with probability .937
c) How many subjects should be selected for each group if one wishes to estimate the difference
between the two proportion correct to within 10% with 95% confidence?
Transcribed Image Text:Problem 4 A sampling of political candidates, 200 randomly chosen from the West and 200 from the East, was classified according to whether the candidate received backing by a national labor union and whether the candidate won. In the West, 116 winners had union backing, and in the East, 142 winners were backed by a national union. a) Estimate the difference between the proportions of union-backed winners in the West versus the East. Use a 95% confidence interval and interpret your results. b) Within what limits would you expect the difference of the two population proportion to lie, with probability .937 c) How many subjects should be selected for each group if one wishes to estimate the difference between the two proportion correct to within 10% with 95% confidence?
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