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A sociologist wants to study the proportion of 12-year-olds who have their own cell phones. What size sample should be obtained if the wish is

A sociologist wants to study the proportion of 12-year-olds who have their own cell phones. What size sample should be obtained if the wish is for the estimate to be within 3.3 percentage points with 99% confidence if:

(a) they use a prior study that found that 72% of 12-year-olds have their own cell phones?

(b) no prior estimates are used?

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