3 The table below summarizes results for randomly selected d
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The table below summarizes results for randomly selected drivers stopped by police in a recent year. Using technology, the data in the table results in the statistics that follow.
Black and Non-Hispanic
White and Non-Hispanic
Stopped by police
22
73
Not stopped by police
143
884
chi-square?
statistic=5.911,?
degrees of?
freedom=1,?
P-value=0.015
Use a 0.05 significance level to test the claim that being stopped is independent of race. Based on available evidence, can we conclude that racial profiling is being used?
Can we conclude that racial profiling is being used?
A. No, because the P-value is greater than the significance level.
B. No, because the P-value is less than the significance level.
C. Yes, because the P-value is greater than the significance level.
D. Yes, because the P-value is less than the significance level.
| Black and Non-Hispanic | White and Non-Hispanic | |
| Stopped by police | 22 | 73 |
| Not stopped by police | 143 | 884 |
Solution
degree of freedom = 1
p value = 0.015
As p value < 0.05, reject null hypothesis.
D. Yes, because the P-value is less than the significance level.
| Actual | ||||
| Black and Non-Hispanic | White and Non-Hispanic | |||
| Stopped by police | 22 | 73 | 95 | |
| Not stopped by police | 143 | 884 | 1027 | |
| 165 | 957 | 1122 | ||
| Expected | ||||
| Black and Non-Hispanic | White and Non-Hispanic | |||
| Stopped by police | 12.6667 | 82.3333 | 95 | |
| Not stopped by police | 152.333 | 855.34 | 1027 | |
| 165 | 957 | 1122 | ||
| Chi square | 6.877192982 | 1.058022561 | 7.93521554 | |
| 0.571845368 | 0.960314729 | 1.5321601 | ||
| 9.46737564 |

