Type of Ticket First Class Domestic International 28 Business Class Economy Class 512 pe of ticket purchased independent of the type of flight? 95 24 128 138

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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12.2 Practice
2.
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 flight was domestic or international travel. Sample data obtained are shown in the following table.
Type of Flight
8.91
I
Type of Ticket
Hide Feedback
First Class
Partially Correct
Business Class
Economy Class
512
a. Using a 0.05 level of significance, is the type of ticket purchased independent of the type of flight?
Ho: Type of ticket purchased is independent of the type of flight ♦
Ha: Type of ticket purchased is not independent of the type of flight
Compute the value of the X² test statistic (to 2 decimals).
Domestic International
28
95
24
128
Use Table 3 of Appendix B to find the p-value.
The p-value is less than 0.005
What is your conclusion?
Conclude that the type of ticket purchased depends on
the type of flight.
b. Discuss any dependence that exists between the type of ticket and type of flight.
I. 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.
II. 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.
i
138
Transcribed Image Text:12.2 Practice 2. 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 flight was domestic or international travel. Sample data obtained are shown in the following table. Type of Flight 8.91 I Type of Ticket Hide Feedback First Class Partially Correct Business Class Economy Class 512 a. Using a 0.05 level of significance, is the type of ticket purchased independent of the type of flight? Ho: Type of ticket purchased is independent of the type of flight ♦ Ha: Type of ticket purchased is not independent of the type of flight Compute the value of the X² test statistic (to 2 decimals). Domestic International 28 95 24 128 Use Table 3 of Appendix B to find the p-value. The p-value is less than 0.005 What is your conclusion? Conclude that the type of ticket purchased depends on the type of flight. b. Discuss any dependence that exists between the type of ticket and type of flight. I. 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. II. 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. i 138
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