Question

Researchers in a populous country contacted more than 25,000 inhabitants aged 24 to see if they had finished high school; 84.1% of the 12,451 males and 80.9% of the 12,797 females indicated that they had high school diplomas. Create a 99% confidence interval for the difference in graduation rates between males and females Pmales-Pfemales. Round to 3 decimals.

Answer 1

Answer

it is given that

and

z score for 99% confidence interval is 2.576 (using z distribution table)

confidence interval for proportion difference =

this implies