Save HomeWork: Homework 3c Score: 0.33 of 1 pt (%) 72.26 13of66 (65 complete) Hw

Question

Save HomeWork: Homework 3c Score: 0.33 of 1 pt (%) 72.26 13of66 (65 complete) Hw score: 69.92%, 46.15 of 66 pt Question Help * 1 years 1678 of the people selected for grand jury duty were sampled, and 27% of them were immigrants Use the sample data to construct a 99% oon5dence interval estimate immigrants. Given that among the people eligible for jury duty. 39 5% of them were immigrants, does i, appear tathe ury selecton process was of the proportion of grand jury members who were somehow biased against immigrants?

Explanation / Answer

p=39.5% =0.395

so q=1-p =1-0.395 =0.605

n=1678

Z/2 for 99% confidence is 2.576

CI =p ± Z/2 × [(p×q)/n]

   =0.395 ± 2.576 x(0.395*0.605/1678)

   =0.395±2.576*0.01193

   =0.395 ± 0.0307

   =0.395-0.0307 to 0.395+0.0307

   =0.364 to 0.426

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