A sociologist wants to construct a 98% confidence interval for the proportion of children aged 8-10 living in New York who own a cell phone.

(a) A survey by the National Consumers League taken in 2012estimated the nationwide proportion to be 0.28. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.03? A sample of children aged 8- 10 living in New York is needed to obtain a 98% confidence interval with a margin of error of 0.03 using the estimate 0.28

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