A magazine subscriber study asked, "In the past 12 months, whentraveling for business, what type of airline ticket did youpurchase most often?" A second question asked if the type ofairline ticket purchased most often was for domestic orinternational travel. Sample data obtained are shown in thefollowing table.
| Type of Ticket | Type of Flight |
|---|
| Domestic | International |
|---|
| Firstclass | 29 | 22 |
| Businessclass | 97 | 123 |
| Economyclass | 516 | 133 |
(a)
Using a 0.05 level of significance, is the type of ticketpurchased independent of the type of flight?
State the null and alternative hypotheses.
H0: The type of ticket purchased is notindependent of the type of flight.
Ha: The type of ticket purchased is independentof the type of flight.
H0: The type of ticket purchased isindependent of the type of flight.
Ha: The type of ticket purchased is notindependent of the type offlight.
H0: The type of ticket purchased is notmutually exclusive from the type of flight.
Ha: The type of ticket purchased is mutuallyexclusive from the type of flight.
H0: The type of ticket purchased is mutuallyexclusive from the type of flight.
Ha: The type of ticket purchased is notmutually exclusive from the type of flight.
Find the value of the test statistic. (Round your answer tothree decimal places.)
Find the p-value. (Round your answer to four decimalplaces.)
p-value =
State your conclusion.
Reject H0. We conclude that the the type ofticket purchased is not independent of the type of flight.
Do not reject H0. We cannot conclude thatthe type of ticket purchased and the type of flight are notindependent.
Do not reject H0. We cannot conclude thatthe type of ticket purchased and the type of flight areindependent.
Reject H0. We conclude that the type ofticket purchased is independent of the type of flight.
(b)
Discuss any dependence that exists between the type of ticketand type of flight.
A higher percentage of first class and business class ticketsare purchased for domestic flights compared to internationalflights. Economy class tickets are purchased more for internationalflights.
The type of ticket purchased is independent of the type offlight.
A higher percentage of first class and business class ticketsare purchased for international flights compared to domesticflights. Economy class tickets are purchased more for domesticflights.
A lower percentage of economy class tickets are purchased fordomestic flights compared to international flights. First class andbusiness class tickets are purchased more for domestic flights.
