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1. [44 Points] ASK YOUR TEACHER PRACTICE ANOTHER Castaneda v. Partida is an important court case in which sbatist'cal methods were used as part of a legal argument. when reviewing this case, the Supreme Court used the phrase "two or three standard deviations as a criterion for statistical signicance. This Supreme Court review has served as the basis for many subsequent appllcations of statistical methods in legal settings (The two or three standard deviations referred to by the Court are Values of the 1 statistic and correspond to P-Values of approximately 005 and 0.0025) In Castaneda the plaintiffs alleged that the method for selecting juries in a county in Texas was biased against Mexican Americans. For the period of time at issue, there were 181,475 persons eligible for jury duty, of whom 142,425 were Mexican Americans. ofthe 888 people selected for jury duty, 335 were Mexican Americans. (a) What proportion of eligible Voters were Mexican Americans? Let this value he p0. (Round your answer to four decimal places.) = pa. Find the value of p for this problem, compute the 2 statistic, and nd the P-value. What do you conclude? (A nding of statistical a facie case. The burden of proof then shifts to the defense) (Use a = 0.01. Round your test statistic to two decimal places and your P-value (b) Let p be the probability that a randomly selected juror is a Mexican American. The null hypothesis to be tested is H significance in this circumstance does not constitute a proof of discrimination. it can be used, however, to establish a p to four decimal places.) 2 Pvalue Conclusion 0 Reject the null hypothesis, there is signicant evidence that Mexican Americans are underrepresented on juries. c Reject the null hypothesis, there is not slgniflcant evidence that Mexican Americans are underrepresented on juries. 0 Fail to reject the null hypothesis, there is not signicant evidence that Mexican Americans are underrepresented on juries. o Fail to reject the null hypothesis, there is signicant evidence that Mexican Americans are underrepresented on juries