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In: Statistics and Probability

Transit Railroads is interested in the relationship between travel distance and ticket class purchased. A random...

Transit Railroads is interested in the relationship between travel distance and ticket class purchased. A random sample of 200 passengers is taken. The table below shows the results. The railroad wants to know if a passenger’s choice in ticket class is independent of the distance they must travel.

Traveling Distance Third class Second class First class Total
1-100 miles 21 14 6 41
101-200 miles 18 16 8 42
201-300 miles 16 17 15 48
301-400 miles 12 14 21 47
401-500 miles 6 6 10 22
Total 73 67 60 200
d What is the test statistic?
e What can you conclude at the 5% level of significance?

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