Metrorail Commuter Service is studying the daily commuting patterns of workers into the central business district (CBD) of Cape Town. A study conducted sevenyears ago found that 40% of commuters used trains, 25% used cars, 20% used taxis and 15% used buses. A recent survey of 400 randomly selected commutersfound that 135 commuters used trains, 115 used cars, 96 used taxis and the remainder travelled by bus. Test at a 5% significance level whether the dailycommuting patterns of workers into the CBD have changed from what they were seven years ago.The breakdown of commuting patterns of workers into the CBS is reflected in the table below:Transport ModeCommuters Percentages Expected FrequencyTrains13540%160Cars11525%100Taxis9620%80Buses5415%60The Chi-square test statistic (rounded off to two decimals) is:A. 9.96B. 0.09C. 6.90D. 2.93

Test is that whether the daily breakdown of commuting pattern of workers into the CBS have changed…

Answered: The Chi-square test statistic (rounded…

Math

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The Chi-square test statistic (rounded off to two decimals) is:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

Metrorail Commuter Service is studying the daily commuting patterns of workers into the central business district (CBD) of Cape Town. A study conducted seven
years ago found that 40% of commuters used trains, 25% used cars, 20% used taxis and 15% used buses. A recent survey of 400 randomly selected commuters
found that 135 commuters used trains, 115 used cars, 96 used taxis and the remainder travelled by bus. Test at a 5% significance level whether the daily
commuting patterns of workers into the CBD have changed from what they were seven years ago.
The breakdown of commuting patterns of workers into the CBS is reflected in the table below:
Transport Mode
Commuters Percentages Expected Frequency
Trains
135
40%
160
Cars
115
25%
100
Taxis
96
20%
80
Buses
54
15%
60
The Chi-square test statistic (rounded off to two decimals) is:
A. 9.96
B. 0.09
C. 6.90
D. 2.93

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