SOLUTION: Thirty percent of the population in a southwestern community are spanish-speaking Americans. A spanish-speaking person is accused of killing a non-spanish-speaking american. Of t

Question 278481: Thirty percent of the population in a southwestern community are spanish-speaking Americans. A spanish-speaking person is accused of killing a non-spanish-speaking american. Of the first 12 potential jurors, only 2 are spanish-speaking americans, and 10 are not. The defendant's lawyer challenges the jury selection, claiming bias against her client. The government lawyer disagrees, saying that the probability of this particular jury compositions is common. What do you think?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Thirty percent of the population in a southwestern community are spanish-speaking Americans. A spanish-speaking person is accused of killing a non-spanish-speaking american. Of the first 12 potential jurors, only 2 are spanish-speaking americans, and 10 are not. The defendant's lawyer challenges the jury selection, claiming bias against her client. The government lawyer disagrees, saying that the probability of this particular jury compositions is common. What do you think?
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p = 0.3
Binomial Problem:
n = 12 ; p = 0.3 ; x = 2
P(x=2) = 12C2(0.3)^2(0.7)^10 = binompdf(12,0.3,2) = 0.1678
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The population percentage at 30% the prob of finding only
2 spanish-speaking among 12 people selected is less than 17%.
Spanish-speaker representation on this jury is low.
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Cheers,
Stan H.
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