Question

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. Victims' Race | Defendant's Race | Death Penalty Yes | Death Penalty No | Total --- | --- | --- | --- | --- White | White | | | | Black | | | Black | White | | | | Black | | | (b) We want to study the conditional association between defendant's race and the death penalty verdict. Find the sample conditional odds ratios ??XY(1) and ??XY(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. Defendant's Race | Death Penalty Yes | Death Penalty No | Total --- | --- | --- | --- White | | | Black | | | (e) From part (d), find the sample marginal odds ratio ??XY 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.

          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.

Victims' Race | Defendant's Race | Death Penalty Yes | Death Penalty No | Total
--- | --- | --- | --- | ---
White | White | | | 
      | Black | | | 
Black | White | | | 
      | Black | | | 

(b) We want to study the conditional association between defendant's race and the death penalty verdict. Find the sample conditional odds ratios ??XY(1) and ??XY(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.

Defendant's Race | Death Penalty Yes | Death Penalty No | Total
--- | --- | --- | ---
White | | | 
Black | | | 

(e) From part (d), find the sample marginal odds ratio ??XY 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.

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.

Victims' Race | Defendant's Race | Death Penalty Yes | Death Penalty No | Total
— | — | — | — | —
White | White | | |
| Black | | |
Black | White | | |
| Black | | |

(b) We want to study the conditional association between defendant's race and the death penalty verdict. Find the sample conditional odds ratios ??XY(1) and ??XY(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.

Defendant's Race | Death Penalty Yes | Death Penalty No | Total
— | — | — | —
White | | |
Black | | |

(e) From part (d), find the sample marginal odds ratio ??XY 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.

Added by Nicole M.

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