Many states now collect data on traffic stops regarding the race of the driver.
ID: 3156507 • Letter: M
Question
Many states now collect data on traffic stops regarding the race of the driver. With more data in hand attention has turned to civil rights issues. Example, data from 2533 traffic stops in Cincinnati report the race of the driver (Black, White, or Other) and whether the traffic stop resulted in a search of the vehicle. Is race a factor in vehicle searches? At =0.05, what conclusion can we make?
Searched
Black
White
Other
Total
No
787
594
27
1408
Yes
813
293
19
1125
Total
1600
887
46
2533
Ho: Ha:
Critical Value(s)/rejection region(s):
Test Statistic:
P-value:
Decision and conclusion:
Searched
Black
White
Other
Total
No
787
594
27
1408
Yes
813
293
19
1125
Total
1600
887
46
2533
Explanation / Answer
H0: Race and vehicle searches are independent.
H1: Race and vehicle searches are not independent.
At df=(r-1)(c-1)=(2-1)(3-1)=2, and alpha=0.05, reject null hypothesis, if X^2>5.991.
Compute test statistic.
X^2=(Observed-Expected)^2/Expected
=(787-889.4)/889.4+...+(19-20.4)^2/20.4
=73.253
The p value is 0.000.
The Chi-square test statistic falls in critical region (p value less than alpha=0.05), reject null hypothesis to cocnclude that race a factor in vehicle searches.
Searched Black (Expected) White (Expected) Other (Expected) No 889.4 [(1408*1600)/2533] 493.1 25.6 Yes 710.6 393.9 20.4 [(1125*46)/2533]Related Questions
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