Question

In: Statistics and Probability

A Bloomberg BusinessWeek subscriber study asked, "In the past 12 months, when traveling for business, what...

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)

Solutions

Expert Solution

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


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