1. In murder trials in 20 Florida counties during 1976 and 1977, the death penalty was...

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1. In murder trials in 20 Florida counties during 1976 and 1977, the death penalty was given in 19 out of 151 cases in which a white killed a white, in 0 out of 9 cases in which a white killed a black, in 11 out of 63 cases in which a black killed a white, and in 6 out of 103 cases in which a black killed a black (M. Radelet, Amer. Sociol. Rev., 46: 918 927 (1981)). (a) Exhibit the data in a three-way contingency table. (b) Construct the partial tables needed to study the conditional association between de- fendent's race and the death penalty verdict. Compute and interpret the sample condi- tional odds ratios, adding 0.5 to each cell to reduce the impact of the 0 cell count. (c) Compute and interpret the sample marginal odds ratio between defendent's race and the death penalty verdict. Do these data exhibit Simpson's paradox? Explain. 1. In murder trials in 20 Florida counties during 1976 and 1977, the death penalty was given in 19 out of 151 cases in which a white killed a white, in 0 out of 9 cases in which a white killed a black, in 11 out of 63 cases in which a black killed a white, and in 6 out of 103 cases in which a black killed a black (M. Radelet, Amer. Sociol. Rev., 46: 918 927 (1981)). (a) Exhibit the data in a three-way contingency table. (b) Construct the partial tables needed to study the conditional association between de- fendent's race and the death penalty verdict. Compute and interpret the sample condi- tional odds ratios, adding 0.5 to each cell to reduce the impact of the 0 cell count. (c) Compute and interpret the sample marginal odds ratio between defendent's race and the death penalty verdict. Do these data exhibit Simpson's paradox? Explain.