There are 50,000 high school students in an extended metropolitan region.
As each of their students came in to register for classes, guidance counselors
were instructed to use a calculator to pick a random number between 1 and 100.
If the number 50 was picked, the student was included in a survey. For one of
the many survey questions, 30% of the students said they couldn’t live without
instant messaging. Are the conditions met for constructing a confidence interval
of the proportion of this region’s teenagers who believe they couldn’t live
without instant messaging?