Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of 200 passengers is taken. Table 11.25 shows the results.
The railroad wants to know if a passenger’s choice in ticket class is independent of the distance they must travel.

df = _______

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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 Table 11.25