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Unformatted text preview: PSTAT 120C: Assignment #6 Solutions June 2, 2006 1. We calculate the χ 2 statistic: X 2 = (79 . 5523 80) 2 79 . 5523 + (608 . 094 615) 2 608 . 094 + (210 . 358 203) 2 210 . 358 + + (10 . 4528 10) 2 10 . 4528 + (79 . 9057 73) 2 79 . 9057 + (27 . 6418 35) 2 27 . 6418 = 0 . 002519 + 0 . 07843 + 0 . 25737 + 0 . 01961 + 0 . 5968 + 1 . 958740 = 2 . 913469 which has a χ 2 distribution with 2 degrees of freedom. For a level α = 0 . 05 the critical value is 5.99. The test statistic is less than the critical value so we accept the null hypothesis that the answers to these two questions are independent. There is not sufficient evidence in this survey to show watching the news is affecting people’s opinion. 2. We calculate the χ 2 test statistic: X 2 = (61 . 5853 79) 2 61 . 5853 + (62 . 2074 58) 2 62 . 2074 + (62 . 2074 49) 2 62 . 2074 + + (8 . 9398 10) 2 8 . 9398 + (9 . 0301 8) 2 9 . 0301 + (9 . 0301 9) 2 9 . 0301 + + (28 . 4749 10) 2 28 . 4749 + (28 . 7625 34) 2 28 . 7625 + (28 . 7625 42) 2 28 . 7625 = 4 . 92 + 0 . 28 + 2 . 8 + 0 . 13 + 0 . 12 + 0 + 11...
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This note was uploaded on 04/09/2008 for the course PSTAT 120c taught by Professor Idk during the Spring '07 term at UCSB.
 Spring '07
 idk

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