In: Statistics and Probability
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 | 22 | 26 |
Business Class | 125 | 94 |
Economy Class | 131 | 513 |
a. Using a .05 level of significance, is the type of ticket purchased independent of the type of flight? Use Table 12.4.
H 0: - Select your answer -Type of ticket purchased is independent of the type of flight, Type of ticket purchased is not independent of the type of flight
H
a: - Select your answer -Type of ticket purchased is
independent of the type of flight, Type of ticket purchased is not
independent of the type of flight
Compute the value of the 2 test statistic (to 2
decimals).
The p-value is Select : less than .005, between .005 and
.01, between .01 and .025, between .025 and .05, between .05 and
.10, greater than .10
What is your
conclusion?
- Select your answer - Conclude that the type of ticket purchased
depends upon whether the flight is domestic or international,
Conclude that the type of ticket purchased is independent of the
type of flight.
b. Discuss any dependence that exists between the type of ticket and type of flight.
- Select your answer - (A higher percentage of economy class tickets are purchased for international flights compared to domestic flights. First class and business class tickets are purchased more for domestic flights), (A higher percentage of first class and business class tickets are purchased for international flights compared to domestic flights. Economy class tickets are purchased more for domestic flights)
Tabulated Statistics: Type of Ticket, Worksheet columns
Rows: Type of Ticket Columns: Worksheet columns
Domestic | International | All | |
First Class | 22 | 26 | 48 |
14.65 | 33.35 | ||
Business Class | 125 | 94 | 219 |
66.83 | 152.17 | ||
Economy Class | 131 | 513 | 644 |
196.52 | 447.48 | ||
All | 278 | 633 | 911 |
Cell Contents
Count
Expected count
Chi-Square Test
Chi-Square | DF | P-Value | |
Pearson | 109.62 | 2 | 0.000 |
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P-value = less than .005
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b) A higher percentage of economy class tickets are purchased for international flights compared to domestic flights. First class and business class tickets are purchased more for domestic flights