Test: Test 5 - Chapter 7 Time Remaining: 0126:00 Submit Te This Question: 1 pt 6

Question

Test: Test 5 - Chapter 7 Time Remaining: 0126:00 Submit Te This Question: 1 pt 6 of 13 (0 complete) This Test: 13 pts poss During a period of 11 years 1790 of the people selected for grand jury duty were sampled proportion of grand jury members who were immigrants Given that among the people eligible for ry duty. 38.4% or them were immigrants, doe it ap ear that the ry selection process against immigrants? and 29% of them were immigrants Use the sample data to construct a 99% confidence interval estimate of the as somehow ba ed Does it appear that the jury selection process was somehow biased against immigrants? O No, the confidence interval includes the true percentage of immigrants O Yes, the confidence interval does not include the true percentage of immigrants ?? ?Type here to search 4 5 6

Explanation / Answer

Solution :

Given that n = 1790 , p = 0.29 , q = 1-p = 0.71

=> for 99% confidence interval , Z = 2.576

=> The 99% confidence interval of the proportion is p +/- Z*sqrt(p*q/n)

=> 0.29 +/- 2.576*sqrt(0.29*0.71/1790)

=> 0.262 < p < 0.318

=> option b. Yes, the confidence interval does not include the true percentage of immigrants.

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