America\'s young people are heavy Internet users; 87% of Americans ages 12 to 17

Question

America's young people are heavy Internet users; 87% of Americans ages 12 to 17 are Internet users (The Cincinnati Enquirer, February 7, 2006). MySpace was voted the most popular Web site by 9% in a sample survey of Internet users in this age group. Suppose 1,150 youths participated in the survey. What is the margin of error (to 3 decimals), and what is the interval estimate (to 3 decimals) of the population proportion for which MySpace is the most popular Web site? Use a 95% confidence level.

Explanation / Answer

z(0.975) =1.96

margin of error = 1.96*sqrt(0.87*0.13/1150) = 0.019

interval estimate

(0.09-0.019 ,0.09+0.019) = (0.071,0.109)

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