409Quiz5Aans - Male Used a travel 90 Booked on the Internet...

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STAT 409 Fall 2009 Name ANSWERS . Version A Quiz 5 (5 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 5% level of significance. Reservation Method Female
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Unformatted text preview: Male Used a travel agent 50 40 90 Booked on the Internet 150 80 230 Called the airline’s toll-free number 40 40 80 240 160 400 E 11 = 400 240 90 × = 54 E 12 = 400 160 90 × = 36 E 21 = 400 240 230 × = 138 E 22 = 400 160 230 × = 92 E 31 = 400 240 80 × = 48 E 32 = 400 160 80 × = 32 Q = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 32 32 40 48 48 40 92 92 80 138 138 150 36 36 40 54 54 50 2 2 2 2 2 2-+-+-+-+-+-= 0.296296 + 0.444444 + 1.043478 + 1.565217 + 1.333333 + 2 = 6.68277 . ( 3 – 1 ) × ( 2 – 1 ) = 2 degrees of freedom 2 05 . χ ( 2 ) = 5.991 . 6.68277 > 5.991. Reject H : gender and method used to make airline reservations are independent p – value = 0.0354....
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This note was uploaded on 10/12/2011 for the course STATISTICS stat 410 taught by Professor Stepanov during the Spring '11 term at University of Illinois, Urbana Champaign.

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