Question

Ten different families are tested for the number of litres of water a week they use before and after viewing a conservation video. Do the data suggest that their water use was reduced after the viewing, compared to before the viewing? Select the appropriate test result. Before33 After 34 B-A 38 25 35 35 0 40 40 28 40 35 35 31 28 28 -1 -2 Fail to reject Ho (two-sided sign test with exact binomial probabilities: s 7, n 10, p-value 0.178) Fail to reject Ho (one-sided sign test (alternative: greater) with exact binomial probabilities: s 7, n-10, p-value 0.090) Reject Ho (two-sided Wilcoxon signed rank test: V 41.5, p-value 0.028) Reject Ho (one-sided Wilcoxon signed rank test (alternative: greater): V = 41.5, p- value = 0.014)

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Answer #1

Sign Test for Median: Diff Sign test of median -0.00000 versus > 0.00000 N N Below Equal Above P Median 7 0.0898 5.000 Diff 10 2

The correct answer is: Fail to reject Ho (one-sided sign test (alternative: greater) with exact binomial probabilities s=7, n=10, p-value=0.090)

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