A Bloomberg BusinessWeek subscriber study asked, \"In the past 12 months, when t

Question

A Bloomberg BusinessWeek subscriber study asked, "In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often?" A second question asked if the type of ticket purchased most often was for domestic or international travel. Sample data obtained are shown in the following table. Type of Flight Type of Ticket Domestic International First Class 23 28 Business Class 129 99 Economy Class 136 516 Using a 05 level of significance, is the type of ticket purchased independent of the type of flight? H_0: _______ H_a: _______ Compute the value of the chi ^2 test statistic (to 2 decimals). _______ The rho -value is _______. What is your conclusion? _______ Discuss any dependence that exists between the type of ticket and type of flight. _______

Explanation / Answer

Ho:

type of ticket purchased independent of type of flight

H1:

type of ticket purchased dependent of type of flight

alpha=0.05

chi sq=105.95

The p-value is < 0.00001.

The result is significant at p < .05.

REJECT NULL HYPOTHESIS

CONCLUSION:

Type of ticket purchased dependent of type of flight

O E O-E (O-E)^2 (O-E)^2/E 23 15.77658 7.22342 52.1778 3.307295 28 35.22342 -7.22342 52.1778 1.481338 129 70.53061 58.46939 3418.67 48.47072 99 157.4694 -58.4694 3418.671 21.71006 136 201.6928 -65.6928 4315.544 21.39662 516 450.3072 65.6928 4315.544 9.583555 chisqstat 105.9496

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