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# 409Quiz5Bans - Male Used a travel 110 Booked on the...

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STAT 409 Fall 2010 Name ANSWERS . Version B Quiz 5 (10 points) Be sure to show all your work, your partial credit might depend on it. No credit will be given without supporting work. 1. A travel agent randomly sampled individuals in her target market to determine if there is any association between the respondents’ gender and the methods used by respondents to make airline reservations for their last leisure trip. The following table shows the numbers of observations in each possible cross-classification. Test the null hypothesis of no association between subjects’ gender and method used to make airline reservations at a 10% level of significance. Reservation Method Female
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Unformatted text preview: Male Used a travel agent 70 40 110 Booked on the Internet 130 80 210 Called the airline’s toll-free number 40 40 80 240 160 400 E 11 = 400 240 110 × = 66 E 12 = 400 160 110 × = 44 E 21 = 400 240 210 × = 126 E 22 = 400 160 210 × = 84 E 31 = 400 240 80 × = 48 E 32 = 400 160 80 × = 32 Q = ( ) ( ) ( ) ( ) ( ) ( ) 32 32 40 48 48 40 84 84 80 126 126 130 44 44 40 66 66 70 2 2 2 2 2 2-+-+-+-+-+-= 0.242424 + 0.363636 + 0.126984 + 0.190476 + 1.333333 + 2 = 4.25685 . ( 3 – 1 ) × ( 2 – 1 ) = 2 degrees of freedom 2 10 . χ ( 2 ) = 4.605 . 4.25685 < 4.605. Do NOT Reject H : gender and method used to make airline reservations are independent p – value = 0.1190....
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