A political pollster selects a random sample of 75 registered voters from Allegheny County, Pennsylvania. The city of Pittsburgh is in Allegheny County. The pollster is interested in determining if the distribution of political party preference among registered voters in this county differs between those who live in Pittsburgh and those who live in the suburbs. The responses are displayed in the table. Political Party Democratic Independent Republican 20 City Suburbs 8 11 Location 8 10 18 The pollster would like to know if these data provide convincing evidence of a relationship between residential status and political party in the population of all registered voters in Allegheny County. The random and 10% conditions are met. Is the Large Counts condition met? O Yes, the smallest expected count is 8.64, so all expected counts are at least 5. O Yes, the smallest expected count is 9.36, so all expected counts are at least 5.

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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O No, the smallest expected count is 1.10, so the expected counts are not all at least 5.
Transcribed Image Text:O No, the smallest expected count is 1.10, so the expected counts are not all at least 5.
A political pollster selects a random sample of 75 registered voters from Allegheny County, Pennsylvania. The
city of Pittsburgh is in Allegheny County. The pollster is interested in determining if the distribution of political
party preference among registered voters in this county differs between those who live in Pittsburgh and those
who live in the suburbs. The responses are displayed in the table.
Political Party
Democratic
Independent
Republican
City
20
8
11
Location
Suburbs
8
10
18
The pollster would like to know if these data provide convincing evidence of a relationship between residential
status and political party in the population of all registered voters in Allegheny County. The random and 10%
conditions are met. Is the Large Counts condition met?
O Yes, the smallest expected count is 8.64, so all expected counts are at least 5.
O Yes, the smallest expected count is 9.36, so all expected counts are at least 5.
O No, the smallest expected count is 0.20, so the expected counts are not all at least 5.
Transcribed Image Text:A political pollster selects a random sample of 75 registered voters from Allegheny County, Pennsylvania. The city of Pittsburgh is in Allegheny County. The pollster is interested in determining if the distribution of political party preference among registered voters in this county differs between those who live in Pittsburgh and those who live in the suburbs. The responses are displayed in the table. Political Party Democratic Independent Republican City 20 8 11 Location Suburbs 8 10 18 The pollster would like to know if these data provide convincing evidence of a relationship between residential status and political party in the population of all registered voters in Allegheny County. The random and 10% conditions are met. Is the Large Counts condition met? O Yes, the smallest expected count is 8.64, so all expected counts are at least 5. O Yes, the smallest expected count is 9.36, so all expected counts are at least 5. O No, the smallest expected count is 0.20, so the expected counts are not all at least 5.
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