Question

Castaneda v. Partida is an important court case in which statistical methods were used as part...

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 181,825 persons eligible for jury duty, of whom 143,500 were Mexican Americans. Of the 880 people selected for jury duty, 338 were Mexican Americans.

(a) What proportion of eligible voters were Mexican Americans? Let this value be po. (Round your answer to four decimal places.)


(b) Let p be the probability that a randomly selected juror is a Mexican American. The null hypothesis to be tested is Ho: p = po. Find the value of for this problem, compute the z statistic, and find the P-value. What do you conclude? (A finding of statistical significance 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.) (Use α = 0.01. Round your test statistic to two decimal places and your P-value to four decimal places.)

z
P-value


Conclusion

Reject the null hypothesis, there is significant evidence that Mexican Americans are underrepresented on juries.

Reject the null hypothesis, there is not significant evidence that Mexican Americans are underrepresented on juries.    

Fail to reject the null hypothesis, there is not significant evidence that Mexican Americans are underrepresented on juries.

Fail to reject the null hypothesis, there is significant evidence that Mexican Americans are underrepresented on juries.


(c) We can reformulate this exercise as a two-sample problem. Here we wish to compare the proportion of Mexican Americans among those selected as jurors with the proportion of Mexican Americans among those not selected as jurors. Let p1 be the probability that a randomly selected juror is a Mexican American, and let p2 be the probability that a randomly selected nonjuror is a Mexican American. Find the z statistic and its P-value. (Use α = 0.01. Round your test statistic to two decimal places and your P-value to four decimal places.)

z
P-value


Conclusion

Reject the null hypothesis, there is significant evidence of a difference in proportions.

Reject the null hypothesis, there is not significant evidence of a difference in proportions.    

Fail to reject the null hypothesis, there is not significant evidence of a difference in proportions.

Fail to reject the null hypothesis, there is significant evidence of a difference in proportions.


How do your answers compare with your results in (b)?

very differentvery similar    

none of the above

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Castaneda v. Partida is an important court case in which statistical methods were used as part...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Castaneda v. Partida is an important court case in which statistical methods were used as part...

    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...

  • Can you please answer this question with detail? Castaneda v. Partida is an important court case...

    Can you please answer this question with detail? 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...

  • Please show all the work and as much detail as possible!! Question 3 (20 pts In...

    Please show all the work and as much detail as possible!! Question 3 (20 pts In a court case reviewed by the Supreme Court 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 181,535 persons eligible for jury duty, of whom 143, 611 were Mexican Americans. Of the 870 people selected for jury duty, 339 were Mexican Americans. a. What proportion...

  • Castaneda v Partida: frequentist treatment is contained of An interesting and celebrated example ...

    what is the use of statistics in the article. i need it to be detailed Castaneda v Partida: frequentist treatment is contained of An interesting and celebrated example of application of a Ztest for a proportion in a verdict of the U.S. Supreme Court. The beginning of the story a lower court Partida seeks habeas is told in s document s relief contending that he was denied due process and equal pro- e grand jury of Hidalgo County, Teras, which...

  • ( Castaneda v Partida: frequentist treatment An interesting and celebrated example of application...

    ( Castaneda v Partida: frequentist treatment An interesting and celebrated example of application of a Z-test for a proportion is contained in a verdict of the U.S. Supreme Court. The beginning of the story is told in a document of Partida seeks habeas corpus relief contending that he was denied due process and equal pro- tection of law because the grand jury of Hidalgo County, Teras, which indicted him, was a lower court unconstitutionally underrepresented by Mezican-Americans. This went to...

  • Forty-one small lots of experimental product were manufactured and tested for the occurrence of a particular...

    Forty-one small lots of experimental product were manufactured and tested for the occurrence of a particular indication that is attribute in nature yet causes rejection of the part. Thirty-one lots were made using one particular processing method, and ten lots were made using yet a second processing method. Each lot was equally sampled (n = 30) for the presence of this indication. In practice, optimal processing conditions show little or no occurrence of the indication. Method 1, involving the ten...

  • Given two independent random samples with the following results: n1= 658    n2 = 550 x1=362     ...

    Given two independent random samples with the following results: n1= 658    n2 = 550 x1=362      x2=194 Can it be concluded that there is a difference between the two population proportions? Use a significance level of α=0.01 for the test. Step 1 of 5: State the null and alternative hypotheses for the test. Step 2 of 5: Find the values of the two sample proportions, pˆ1 and pˆ2. Round your answers to three decimal places. Step 3 of 5: Compute...

  • The 2008 election was an important election for many Americans especially black Americans, because Barack Obama, the first black American, was elected by the American people to be the President of the...

    The 2008 election was an important election for many Americans especially black Americans, because Barack Obama, the first black American, was elected by the American people to be the President of the United States. Additionally, he was then re-elected as President of the United States by the American people in 2012. In 2008 the percentage of eligible black voters who did vote was 64.7% and in 2012 the percentage of blacks eligible to vote was 66.2% out of 126 million...

  • #3 A group conducted a randomized experiment to see if hormone therapy was helpful for post-menopausal...

    #3 A group conducted a randomized experiment to see if hormone therapy was helpful for post-menopausal women The women were randomly assigned to receive a hormone or a placebo After 5 years, 119 of the 8589 on the hormone therapy developed cancer and 83 of the 8437 in the placebo group developed cancerIs this a significant difference? Complete parts a through c below a. State the assumptions and the hypotheses What assumptions about the two samples are necessary to be...

  • 6.16 Is college worth it? Part I: Among a simple random sample of 331 American adults...

    6.16 Is college worth it? Part I: Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. (a) A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT