In the case of Castenedav. Partida, 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 want to determine ifthe selection process is biased against Americans of Mexican ancestry or not.
a) Construct a 98% confidence interval estimate of the proportion of Americans of Mexican ancestry selected for grand jury during a period of 11 years.
b) Does the jury selection system appear to be fair?