You may need to use the appropriate technology to answer this question.
A magazine 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.
\begin{tabular}{|l|l|l|}
\hline
Type of Ticket & Type of Flight \\
& Domestic & International \\
\hline
First class & 29 & 22 \\
Business class & 95 & 121 \\
Economy class & 510 & 135 \\
\hline
\end{tabular}
(a) Using a 0.05 level of significance, is the type of ticket purchased independent of the type of flight?
State the null and alternative hypotheses.
$H_0$: The type of ticket purchased is not independent of the type of flight.
$H_a$: The type of ticket purchased is independent of the type of flight.
$H_0$: The type of ticket purchased is mutually exclusive from the type of flight.
$H_a$: The type of ticket purchased is not mutually exclusive from the type of flight.
$H_0$: The type of ticket purchased is not mutually exclusive from the type of flight.
$H_a$: The type of ticket purchased is mutually exclusive from the type of flight.
$H_0$: The type of ticket purchased is independent of the type of flight
$H_a$: The type of ticket purchased is not independent of the type of flight.
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
