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Is the probability of a bowler rolling a strike higher after he has thrown four consecutive strikes? Researchers investigated the phenomenon of a "hot hand" in bowling. Frame-by-frame results were collected on 43 professional bowlers. For each bowler, the researchers calculated the proportion of strikes rolled after bowling four consecutive strikes and the proportion after bowling four consecutive nonstrikes. The data on 4 of the 43 bowlers are shown in the accompanying table. Complete parts a and b. Click the icon to view the data table. Click the icon to view a table of critical values for the Wilcoxon signed rank test. a. Do the data on the sample of four bowlers provide support for the "hot hand" theory in bowling? Explain. (Let the differences be After Four Strikes - After Four Nonstrikes.) Set up the null and alternative hypotheses. Ho: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is H₂: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is Find the test statistic for this test. Select the correct choice below and fill in the answer box within your choice. OA. T= OB. T. identical to shifted to the right of the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. Data Table - X

Is the probability of a bowler rolling a strike higher after he has thrown four consecutive strikes? Researchers investigated the phenomenon of a "hot hand" in bowling. Frame-by-frame results were collected on 43 professional bowlers. For each bowler, the researchers calculated the proportion of strikes rolled after bowling four consecutive strikes and the proportion after bowling four consecutive nonstrikes. The data on 4 of the 43 bowlers are shown in the accompanying table. Complete parts a and b. Click the icon to view the data table. Click the icon to view a table of critical values for the Wilcoxon signed rank test. a. Do the data on the sample of four bowlers provide support for the "hot hand" theory in bowling? Explain. (Let the differences be After Four Strikes - After Four Nonstrikes.) Set up the null and alternative hypotheses. Ho: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is H₂: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is Find the test statistic for this test. Select the correct choice below and fill in the answer box within your choice. OA. T= OB. T. identical to shifted to the right of the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. Data Table - X

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Is the probability of a bowler rolling a strike higher after he has thrown four consecutive strikes? Researchers investigated the phenomenon of a "hot hand" in bowling. Frame-by-frame results were collected on 43 professional bowlers. For each bowler, the researchers calculated the proportion of strikes rolled after bowling four consecutive strikes and the proportion after bowling four consecutive nonstrikes. The data on 4 of the 43 bowlers are shown in the accompanying table. Complete parts a and b. Click the icon to view the data table. Click the icon to view a table of critical values for the Wilcoxon signed rank test. a. Do the data on the sample of four bowlers provide support for the "hot hand" theory in bowling? Explain. (Let the differences be After Four Strikes - After Four Nonstrikes.) Set up the null and alternative hypotheses. Ho: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is H₂: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is Find the test statistic for this test. Select the correct choice below and fill in the answer box within your choice. A. T= O B. T + C. T_ = 0 = What is the correct conclusion for this hypothesis test based on the results of the test? identical to shifted to the right of A. Reject Ho. There is insufficient evidence to support the "hot hand" theory in bowling at any reasonable value of a. B. Reject Ho. There is sufficient evidence to support the "hot hand" theory in bowling at any reasonable value of x. C. Do not reject Ho. There is sufficient evidence to support the "hot hand" theory in bowling at any reasonable value of a. D. Do not reject Ho. There is insufficient evidence to support the "hot hand" theory in bowling at any reasonable value of a. the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. Data Table Bowler 123 + 4 Proportion of Strikes After Four Strikes 0.632 0.684 0.610 0.683 Print After Four Nonstrikes 0.421 0.400 0.529 0.426 Done X
Transcribed Image Text:Is the probability of a bowler rolling a strike higher after he has thrown four consecutive strikes? Researchers investigated the phenomenon of a "hot hand" in bowling. Frame-by-frame results were collected on 43 professional bowlers. For each bowler, the researchers calculated the proportion of strikes rolled after bowling four consecutive strikes and the proportion after bowling four consecutive nonstrikes. The data on 4 of the 43 bowlers are shown in the accompanying table. Complete parts a and b. Click the icon to view the data table. Click the icon to view a table of critical values for the Wilcoxon signed rank test. a. Do the data on the sample of four bowlers provide support for the "hot hand" theory in bowling? Explain. (Let the differences be After Four Strikes - After Four Nonstrikes.) Set up the null and alternative hypotheses. Ho: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is H₂: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is Find the test statistic for this test. Select the correct choice below and fill in the answer box within your choice. A. T= O B. T + C. T_ = 0 = What is the correct conclusion for this hypothesis test based on the results of the test? identical to shifted to the right of A. Reject Ho. There is insufficient evidence to support the "hot hand" theory in bowling at any reasonable value of a. B. Reject Ho. There is sufficient evidence to support the "hot hand" theory in bowling at any reasonable value of x. C. Do not reject Ho. There is sufficient evidence to support the "hot hand" theory in bowling at any reasonable value of a. D. Do not reject Ho. There is insufficient evidence to support the "hot hand" theory in bowling at any reasonable value of a. the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. Data Table Bowler 123 + 4 Proportion of Strikes After Four Strikes 0.632 0.684 0.610 0.683 Print After Four Nonstrikes 0.421 0.400 0.529 0.426 Done X
Critical values for the Wilcoxon paired difference signed rank test One-Tailed α = .05 α = .025 α = .01 α = .005 α = .05 α = .025 α = .01 α = .005 α = .05 α = .025 α = .01 α = .005 α = .05 α = .025 α = .01 α = .005 Critical Values of To in the Wilcoxon Paired Difference Signed Rank Test n = 6 n = 7 n = 8 n = 5 1 2 1 Two-Tailed α = .10 α = .05 α = .02 α = .01 α = .10 α = .05 α = .02 α = .01 α = .10 α = .05 α = .02 α = .01 α = .10 α = .05 α = .02 α = .01 n = 11 14 11 7 5 n = 17 41 35 28 23 n = 23 83 73 55 n = 12 17 14 10 7 n = 18 47 40 33 28 n = 24 92 81 69 61 4 2 0 12 = 13 21 17 13 10 n = 19 54 46 38 32 12 = 25 101 90 77 68 CANON9 889 SE 6 4 2 0 n = 14 26 21 16 13 n = 20 60 52 43 37 n = 26 110 98 85 76 n = 9 8 6 3 2 n = 15 30 25 20 16 n = 21 68 59 49 43 n = 27 120 107 93 84 n = 10 1853 11 3 n = 16 36 30 24 19 n = 22 75 66 56 49 n = 28 130 117 102 92 1 0
Transcribed Image Text:Critical values for the Wilcoxon paired difference signed rank test One-Tailed α = .05 α = .025 α = .01 α = .005 α = .05 α = .025 α = .01 α = .005 α = .05 α = .025 α = .01 α = .005 α = .05 α = .025 α = .01 α = .005 Critical Values of To in the Wilcoxon Paired Difference Signed Rank Test n = 6 n = 7 n = 8 n = 5 1 2 1 Two-Tailed α = .10 α = .05 α = .02 α = .01 α = .10 α = .05 α = .02 α = .01 α = .10 α = .05 α = .02 α = .01 α = .10 α = .05 α = .02 α = .01 n = 11 14 11 7 5 n = 17 41 35 28 23 n = 23 83 73 55 n = 12 17 14 10 7 n = 18 47 40 33 28 n = 24 92 81 69 61 4 2 0 12 = 13 21 17 13 10 n = 19 54 46 38 32 12 = 25 101 90 77 68 CANON9 889 SE 6 4 2 0 n = 14 26 21 16 13 n = 20 60 52 43 37 n = 26 110 98 85 76 n = 9 8 6 3 2 n = 15 30 25 20 16 n = 21 68 59 49 43 n = 27 120 107 93 84 n = 10 1853 11 3 n = 16 36 30 24 19 n = 22 75 66 56 49 n = 28 130 117 102 92 1 0
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