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A researcher interested in the relationship between city size and mass transit systems takes a random sample of 100 cities of varying sizes and finds that 20 of the small cities have mass transit systems and 30 do not; 12 of the mid-sized cities have transit systems and 18 do not; and 8 of the large cities have transit systems and 12 do not. a) Construct a crosstabulation table showing the relationship between the independent and dependent variables. Place the independent variables across the top of the table and calculate the column percentages (e.gwhat percent of small cities have mass transit systems? What percent of small cities do not have mass transit systems? etc.) b) What do the table percentages indicate about the relationship between city size and the existence of a mass transit system?

A researcher interested in the relationship between city size and mass transit systems takes a random sample of 100 cities of varying sizes and finds that 20 of the small cities have mass transit systems and 30 do not; 12 of the mid-sized cities have transit systems and 18 do not; and 8 of the large cities have transit systems and 12 do not. a) Construct a crosstabulation table showing the relationship between the independent and dependent variables. Place the independent variables across the top of the table and calculate the column percentages (e.gwhat percent of small cities have mass transit systems? What percent of small cities do not have mass transit systems? etc.) b) What do the table percentages indicate about the relationship between city size and the existence of a mass transit system?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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A researcher interested in the relationship between city size and mass transit systems takes a random sample of 100 cities of varying sizes and finds that 20 of the small cities have mass transit systems and 30 do not; 12 of the mid-sized cities have transit systems and 18 do not; and 8 of the large cities have transit systems and 12 do not. a) Construct a crosstabulation table showing the relationship between the independent and dependent variables. Place the independent variables across the top of the table and calculate the column percentages (e.g. What percent of small cities have mass transit systems? What percent of small cities do not have mass transit systems? etc.) b) What do the table percentages indicate about the relationship between city size and the existence of a mass transit system?
Transcribed Image Text:A researcher interested in the relationship between city size and mass transit systems takes a random sample of 100 cities of varying sizes and finds that 20 of the small cities have mass transit systems and 30 do not; 12 of the mid-sized cities have transit systems and 18 do not; and 8 of the large cities have transit systems and 12 do not. a) Construct a crosstabulation table showing the relationship between the independent and dependent variables. Place the independent variables across the top of the table and calculate the column percentages (e.g. What percent of small cities have mass transit systems? What percent of small cities do not have mass transit systems? etc.) b) What do the table percentages indicate about the relationship between city size and the existence of a mass transit system?
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