Transit Railroads is interested in the relationship between travel distance and

Question

Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of 200 passengers is taken. The railroad wants to know if a passenger's choice in ticket class is independent of the distance they must travel. The data is shown in the table below. Fill in the expected values in the table. g. H_0: h. H_a: l. Is this a right-tailed, left-tailed, or two tailed test? j. Degrees of freedom = k. x^2 test statistic = I. p- value = Let alpha = 0.05 Decision: Reason for Decision: Conclusion:

Explanation / Answer

The expected frequencies are

g) H0: Travelling Distance and ticket class are indepedent

h) H1: Travelling Distance and ticket class are not indepedent

i) Two -tailed test

j) degrees of freedom = (5-1)(3-1) = 8

k) The chisquare contribution values are

i) P-Value:    0.0435

Here P-value < alpha 0.05, so we reject H0

Thus, we conclude that Travelling Distance and ticket class are not indepedent

Thrid class second Class first class Total 1-100 14.965 13.735 12.3 41 101-200 15.33 14.07 12.6 42 201-300 17.52 16.08 14.4 48 301-400 17.155 15.75 14.1 47.005 401-500 8.03 7.37 6.6 22 Total 73 67 60 200

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