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In the case of Casteneda v. Partida, 1977, it was found that during a period of 11 years in Hilda County, Texas, 870 people were selected for grand jury duty, and 39% of them were Americans of Mexican ancestry. Among the people eligible for grand jury duty, 79.1% were Americans of Mexican ancestry. We shall use a 0.01 significance level to test the claim that the selection process is biased against Americans of Mexican ancestry.

a) Set up the null and alternative hypotheses, and perform the hypothesis test.

b) Does the jury selection system appear to be fair?

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