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When the principal at Algieres High School started on the job many years ago he believed that over  of students are text-messaging at least once a week during class. He believed this was an impediment to effective learning. Students claimed that the actual percentage was much lower and that stricter rules were not necessary. Mrs. Rahil secretly observed her homeroom class very carefully for a week; only of students actually text-messaged during class. Assuming her homeroom was representative of the whole school, Mrs. Rahil’s class did a computer simulation and determined a margin of error of . Is it plausible that the principal was correct and of the whole school was text-messaging?

Students can be assumed to be text-messaging   of the time.