Table below represents death penalty verdict by defendant's race and victims' race. Victims' Defendant's Death Penalty Race Race Yes No White White 53 414 Black 11 37 Black White 0 16 Black 4 139 (a) Test for complete independence at the .01 level. (b) Test whether the death penalty verdict is independent of the other two classifications at the .01 level.
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32 | (64 * 150) / 219 = 43.68 | | Black | (155 * 69) / 219 = 48.68 | (155 * 150) / 219 = 106.32 | Now, we will calculate the chi-square test statistic: $\chi^2 = \sum \frac{(O - E)^2}{E}$ $\chi^2 = \frac{(53 - 20.32)^2}{20.32} + \frac{(11 - 43.68)^2}{43.68} + Show more…
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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. Let us define X = Defendant's race, Y = Death Penalty Verdict, and Z = Victim's Race. (a) Exhibit the data as a three-way contingency table. (b) We want to study the conditional association between defendant's race and the death penalty verdict. Find the sample conditional odds ratios θXY(1) and θXY(2). (c) From part (b), fill out the blank: When victims' race is white, the sample odds for white defendants receiving the death penalty were ____% of the sample odds for black defendants. (d) Ignoring Z, construct a XY marginal table. (e) From part (d), find the sample marginal odds ratio θXY between defendant's race and the death penalty verdict. (f) From part (e), fill out the blank: The sample odds of the death penalty were ____% higher for white defendants than for black defendants.
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Here is the distribution of ethnicity for inmates on death row as of April 2013. Ethnicity: African American, Caucasian, Latino, Native American, Asian Probability: 0.42, 0.43, , 0.01, 0.01 What is the probability that a death row inmate is Caucasian or Asian?
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