SOLUTION: The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 4 percent. The 0.95 degree of confidence is to be used. A stu

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Question 1191437: The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 4 percent. The 0.95 degree of confidence is to be used. A study conducted several years ago revealed that the percent of junior executives leaving within three years was 22. To update this study, the files of how many junior executives should be studied?
A. 594 B. 612 C. 413 D. 897

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
SE=z*sqrt(p*(1-p)/n)
0.04=1.96*sqrt(0.22*0.78/n)
square both sides and multiply both sides by n
0.0016n=3.8416*0.22*0.78
n=0.6592/0.0016
=412.0116, or 413 needed

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