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 airline 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 29 24 Business Class 92 126 Economy Class 515 134


a. ?Using a .05 level of significance, is the type of ticket purchased independent of the type of flight?
Compute the value of the  2 test statistic
The p-value is
What is your conclusion?
Discuss any dependence that exists between the type of ticket and type of flight.

Explanation / Answer

Test Contribution
Category Observed Proportion Expected to Chi-Sq
1 53 0.333333 306.667 209.826
2 218 0.333333 306.667 25.636
3 649 0.333333 306.667 382.148

N DF Chi-Sq P-Value
920 2 617.611 0.000

so p-value < 0.05

we are rejecting H0 and claim that classes are have different effect

C1 C2 Total
1 29 24 53
36.64 16.36
1.593 3.567

2 92 126 218
150.70 67.30
22.867 51.210

3 515 134 649
448.66 200.34
9.810 21.970

Total 636 284 920

Chi-Sq = 111.017, DF = 2, P-Value = 0.000

here also

p-value < 0.05

we are rejecting H0 and claim that classes are have different effect also flights have different effect

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