sol6 - PSTAT 120C: Assignment #6 Solutions June 2, 2006 1....

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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.

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sol6 - PSTAT 120C: Assignment #6 Solutions June 2, 2006 1....

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