please help with this question and show work

[0/4 Points] DETAILS PREVIOUS ANSWERS Mv NOTES ASK YOUR TEACHER wRACrIcE ANOTHER Castaneda v. Part/d5 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 signicance. Thls 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 1 statistic and correspond to Pvalues Of approximately 0.05 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 150,500 persons eligible for jury duty, of whom 142,025 were Mexican Americans. of the 372 people selected for jury duty, 345 were Mexican Americans. (a) what proportion of eligible voters were Mexican Americans? Let this value be p0. (Round your answer to four decimal places.) (b) Letp be the probability that a randomly selected juror is a Mexican American. The null hypothesis to be tested is no: p = p0. Find the value off: for this problem, compute the 2 statistic, and nd the P-value. What do you conclude? (A nding of statistical signicance in this circumstance does not constitute a proof of discrimination. it can be used, however, to establish a prima facie case. The burden of proof then shifts to the defense.) (Lise o = 0.01. Round your test statistic to two decimal places and your Pavalue to four decimal places) 1 40.72 X P-value Conclusion 0 Reject the null hypothesis, there is slgnlcant evidence that Mexican Americans are underrepresented on Juries. o Reject the null hypothesis, there is not signicant 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. [-0 Points] DETAILS Mir NOTES ASK vOuR TEACHER PRACTICE ANOTHER We assume that our wages will increase as we gain experience and become more valuable to our employers. wages also increase because of ination. By examining a sample of employees at a given point in time, we can look at part of the picture. How does length of service (L05) relate to wages? The data here (data20.dat) is the LDS in months and wages for 60 women who work in indiana banks. Wages are yearly total income divided by the number of weeks worked. We have multiplied wages by a constant for reasons of condentiality. (a) Plot wages versus Los. Consider the relationship and whether or not linear regression might be appropriate. (Do this on paper. Your instructor may ask you to turn in this graph.) (b) Find the least-squares line. summarize the signicance test for the slope. what do you conclude? Wages a + L05 t= P: (c) state careiuily what the slope tells you about the relationship between wages and length of service. o For an increase of one unit of wages one can expect on average that the change in experience will be 0.02:. o 0.021% of the variation in experience is due to the variation in wages. o for an increase of one month experience one can expect on average that the change in wages will be 0.021. c 0.021% of the variation in wages is due to the variation in experience. (d) Give a 95% condence interval for the slope. ( i . )