Question

Castaneda v. Partida is an important court case in which statistical 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 significance. This Supreme Court review has served as the basis for many subsequent applications of statistical methods in legal settings. (The two or three standard deviations referred to by the Court are values of the z statistic and correspond to P-values of approximately 0.05 and 0.0026.) 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 180,125 persons eligible for jury duty, of whom 142,550 were Mexican Americans. Of the 870 people selected for jury duty, 345 were Mexican Americans
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Answer 1

elassMate Date Page Far Samele 1 nz 180125 Lale havethat the 6ample size. gs 142550 the no.of. favorable cgses is 142550 Rothen the populathn praporhan i's Io125 ni O. 4 FoY sample 2. We have thhat the sample síze n 87d -345.- the no.of fairorable eases S 345 So then the_populatlonprapartian is 70 O.3936 0.3966 The_valueaf the pooledproportianis compuhed as 14.2550t 345 o.7895 nitnz g0125+ 870 Blso the_given Significancelexel_gzo.0 t test statisH'cs h 0.7914-0-3966 -D.95 18012 28 499 t-test statishic Pvalve is less than.oao Tua-tailed P-value 0.000)