12b. According to a report published by the Pew Research Center in February 2010

Question

12b. According to a report published by the Pew Research Center in February 2010, 61% of Millenials (Americans in their teens and 20s) think that their generation has a unique and distinctive identity (N=527).

Calculate the 99% confidence interval to estimate the percentage of Millenials who believe that their generation has a distinctive identity as compared with the other generations (Generation X, baby boomers, etc.).

Answer with the correct percentages rounded to 2 decimal places in the following manner:

99.99 to 99.99

Explanation / Answer

here p=0.61 and n=527

hence std error =(p(1-p)/n)1/2 =0.021

for 99% CI, z=2.5758

hence confidence interval =samle proportion +/- z*std error =0.5553 ; 0.6647 ~55.53% ; 66.47%

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