According to a report published by the Pew Research Center in February 2010, 61% of Millennial (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 Millennial 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?