Question

37. Bias in Jury Selection In the case of Casteneda v. Partida, it was found that during a period of 11 years in Hidalgo County, Texas, 870 people were selected for grand jury duty, and 39% of them were Mexican-Americans. Use the sample data to construct a 99% confidence interval estimate of the proportion of grand jury members who were Mexican-Americans. Given that among the people eligible for jury duty, 79.1% of them were Mexican-Americans, does it appear that the jury selection process was somehow biased against Mexian-Americans? Why or why not?

Answer 1

n 870 sample size sample proportion x/n= 0.3900 std error =Se =v(p*(1-2)/n) = 0.0165 2.576 0.043 for 99 % Cl value of z= margin of error E=z*std error lower confidence bound=sample proportion-margin of error Upper confidence bound=sample proportion+margin of error 0.347 0.433

from above 99% Confidence interval for population proportion of grand jury members who were Mexican Americans=0.347 ; 0.433

as above interval does not contian 0.791 as possible value of population proportion ; we have evidence at 99% confidence that jury representation Maxian Americans is biased,

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