Homework SourseA Bloomberg BusinessWeek subscriber study asked In the past
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. |
Solution
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
![A Bloomberg BusinessWeek subscriber study asked, \](/WebImages/23/a-bloomberg-businessweek-subscriber-study-asked-in-the-past-1054869-1761550178-0.webp "A Bloomberg BusinessWeek subscriber study asked, \")
