# SOLUTION: A poll was taken of 500 College graduates. The college graduates sampled were asked whether Americans feel satisfied with their lives; 350 responded “very satisfied” Use this date

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Probability-and-statistics Question 438330: A poll was taken of 500 College graduates. The college graduates sampled were asked whether Americans feel satisfied with their lives; 350 responded “very satisfied” Use this date to obtain a 97% confidence interval for the corresponding population proporation, p. Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi A poll was taken of 500 College graduates. The college graduates sampled were asked whether Americans feel satisfied with their lives; 350 responded “very satisfied” Use this date to obtain a 97% confidence interval for the corresponding population proporation, p. p-hat = 350/500 = .7 97% confidence then z = 2.1701 ME = 2.1701*sqrt[0.7*0.3/500] = 0.04447 97%CI: 0.7-0.04447 < p < 0.7+0.04447 97%CI: 0.6555< p < 0.7448 Summary of other critical regions a a/2 crtical regions 90% 0.1 5% z <-1.645 z >+1.645 95% 0.05 2.50% z <-1.96 z >+1.96 98% 0.02 1% z <-2.33 z >+2.33 99% 0.01 0.50% z<-2.575 z >+2.575 ```