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

(a) Calculate the 95% confidence interval to estimate the percentage of Millennials who believe that their generation has a distinctive identity as compared with the other generations (Generation X, baby boomers, or the Silent Generation).

(b) Calculate the 99% confidence interval.

(c) Are both these results compatible with the conclusion that the majority of Millennials believe that they have a unique identity that separates them from the previous generations?