IDNLearn.com: Your one-stop destination for finding reliable answers. Ask anything and receive thorough, reliable answers from our community of experienced professionals.

The USC Annenberg School Center for the Digital Future found that, in 2009, 30.5% of Americans felt uncomfortable with the lack of face-to-face contact when ordering a product online. The corresponding percentage was 23.5% in 2001. Assume the samples were independently and randomly selected and that the sample size was 2000 in both years.

Find a 99% confidence interval for the difference in population proportions of those uncomfortable with lack of face-to-face contact for the two years. (Let group 1 represent 2009.)