# ismch13 - Nonparametric Statistics 17 Chapter 13...

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Nonparametric Statistics 17 Chapter 13: Nonparametric Statistics 13-1 0 : .5 H π = (there is no preference for one stock over the other) 1 : .5 H (otherwise) n = 11 For stock 2 and a two-sided test, P(2 X 9) = 2P(X 1) = 2[.0005 + .0054] = .0118 Therefore, reject 0 H at levels of alpha in excess of 1.18% 13-2 0 : .5 H = (there is no overall improvement in comprehension levels following completion of the program) 1 : .5 H (the level of comprehension is increased by the program) n = 9. For 8 scores higher “After” and a one-sided test, P(X 8) = .0176 + .002 = .0196 Therefore, reject 0 H at levels of alpha in excess of 1.96% 13-3 0 : .5 H = (grocery store managers are equally divided about customers attitudes about electronic coupons) 1 : .5 H (otherwise) n = 11. For 8 “yes” answers and a two-sided test, P(4 X 7) = 2P(X 3) = 2[.0005 + .0054 + .0269 + .0806] = .2268 Therefore, reject 0 H at levels of alpha in excess of 22.68% 13-4 0 : .5 H = (positive and negative returns are equally likely) 1 : .5 H (positive returns are more likely) n = 57. 39/57 .6842 x p = = 57(.5) 28.5 n μ = = = .5 .5 57 3.7749 n σ = = = * 38.5 28.5 2.65 3.7749 S Z - - = = = p-value = 1 – F z (2.65) = 1 - .9960 = .0040 Therefore, reject 0 H at levels of alpha in excess of .40% 13-5 0 : .5 H = (voters are evenly divided) 1 : .5 H (otherwise) n = 130 – 18 = 112. 68/112 .6071 x p = = 112(.5) 56 n = = = .5 .5 112 5.2915 n = = = * 67.5 56 2.17 5.2915 S Z - - = = = p-value = 2[1 – F z (2.17)] = 2[1 - .9850] = .030 Therefore, reject 0 H at levels of alpha in excess of .30%

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18 th Edition 13-6 0 : .5 H π = (economists’ profession is equally divided on whether the inflation rate will increase) 1 : .5 H (otherwise) n = 49, 29/ 49 .5918 x p = = 49(.5) 24.5 n μ = = = .5 .5 49 3.50 n σ = = = * 28.5 24.5 1.14 3.50 S Z - - = = = p-value = 2[1 – F z (1.14)] = 2[1 - .8729] = .2542 Therefore, reject 0 H at levels of alpha in excess of 25.42% 13.7 Open-ended question. The findings should include statements about the relative size of the firms. The MIPS firms have larger total assets than do non-MIPS comparable firms. This holds true in both the Utilities as well as Industrial industries and for the overall total. Results of interest coverage and long-term debt-to-total-asset ratios varies depending on which test and which type of industry the firms are in. While publicly traded MIPS firms in the utilities industries have significantly higher long-term debt-to-total-asset ratio then do non-MIPS firms, the MIPS firms in the industrials do not. 13.8
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ismch13 - Nonparametric Statistics 17 Chapter 13...

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