Question

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).18 (Links to an external site.) 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). The upper bound is the lower bound is

Answer 1

The correct approach will be "(0.5553, 0.6647)". The further explanation is given below.

Explanation:

According to the given information,

The margin of error will be:

⇒
`2.5758* \sqrt{(0.61* 0.39)/(527)}`

⇒
`0.054728`

On 95% confidence Interval,

⇒
`(0.61-0.054728, 0.61+0.054728)`

⇒
`(0.5553, 0.6647)`