A convicted man appeals his conviction based on the claim that he was not tried
ID: 3311140 • Letter: A
Question
A convicted man appeals his conviction based on the claim that he was not tried by a "jury of his peers". Census data for a certain county shows that 19% Of the adult residents are Hisp them are Hispanic. Does that apparent underrepresentation of Hispanics call into question the fairness of the jury selection system? Perform this test using the p-value approach at the 5% significance level. following three questions anic. Suppose 72 people are called for jury duty and only 9 of Use this information to answer the 9. State the appropriate null and alternative hypothesis. ANS: 10. Find the p-value. ANS: 11. Does the convicted person win his appeal or have to go back to jail? Why or why not?Explanation / Answer
9) null hypothesis: Ho: p=0.19 ( equal representation)
alternate hypothesis:Ha: p<0.19 (underrepresentation)
10) here n=72 ; std error =(p*(1-p)/n)1/2 =0.0462
sample proportion phat =9/72 =0.125
hence test statistic z=(phat-p)/std error =(0.125-0.19)/0.0462 =-1.4059
for abvoe test statistic and left tailed test ; p vlaue =0.0799
11) as p value is greater then 0.05 level we can not reject null hypotheiss
we do not have sufficient evidence to conclude that there appears underrepresentation of Hispanics.
therefore convicted person have to go back to jail