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RACE AND THE ENFORCEMENT OF DRUG DELIVERY LAWS IN ...

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considered statistically significant, and indicate that there is at most a 5 percent<br />

chance of observing a given difference in sample proportions if in fact there is no<br />

difference between the population proportions. Z scores with an absolute value<br />

of 4 or above mean that there is at most a .01 percent chance of observing a given<br />

difference in sample proportions if, in fact, there is no difference between the<br />

population proportions. To be concrete, a .01 percent chance means that the<br />

likelihood that the discrepancy is the result of chance is 1 out of 10,000.<br />

The Z score that measures the significance of the difference between the<br />

proportion of downtown deliverers who are black (according to the<br />

observational study, 33 percent) and the proportion of downtown delivery<br />

arrestees who are black (85 percent) is 9.9 (see Table 15). The Z score measuring<br />

the significance of the difference between percentage of observed downtown<br />

deliverers and downtown delivery arrestees who are black is very highly<br />

statistically significant. In fact, the Z score is so high that the likelihood that this<br />

difference could be due to chance is close to zero. The under-representation of<br />

whites among downtown arrestees is also highly statistically significant and very<br />

unlikely to be the result of chance. 109<br />

Table 15. Statistical Significance of the Difference between the Racial/Ethnic<br />

Composition of Observed Downtown Drug Deliverers and<br />

Downtown Drug Delivery Arrestees<br />

Observed Delivery Difference<br />

Z Score<br />

Deliverers (A) Arrestees (B) (B-A)<br />

Black 33.3% 85.3% +52% 9.9*<br />

White 49.5% 9.3% -40.2% -8.3*<br />

Sources: Nyrop, Demographic Comparisons of Two Public Venue Drug Markets in Seattle;<br />

Seattle Police Department incident reports.<br />

Note: *Indicates a statistically significant disparity (Z>2).<br />

where ˆ π<br />

2<br />

is the black (or white) proportion of arrestees and ˆ π<br />

1<br />

is the black (or white)<br />

proportion of drug deliverers. The standard error shown in the denominator is the pooled<br />

estimate of the two samples (arrestees and sources).<br />

109 It is conceivable that some of the observed drug transactions involved marijuana. In this case,<br />

the percentage of observed drug exchanges involving black drug deliverers should be<br />

compared with the percentage of all purposeful drug delivery arrests, including marijuana<br />

delivery arrests, that involved black suspects. There were an additional 10 purposeful delivery<br />

arrests in census tract 81 that involved only marijuana; three of these arrests involved black<br />

suspects and four involved white suspects. If marijuana arrestees are combined with the 75<br />

suspects arrested for delivery of a serious drug, the results indicate that 78.8 percent of those<br />

arrested in census tract 81 were black and 12.9 percent were white. If Z scores are calculated<br />

using these figures instead, black over-representation and white under-representation among<br />

drug arrestees remains highly significant (Z = 8.2 and -7.2 respectively).<br />

68

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