Confidence Intervals - Lunches

In a certain countrywide school district, a survey of 350 students showed that 28% carried their lunches to school. Find the 95% confidence interval of the true proportion of students who carried their lunches to school. If the cafeteria manager wanted to be reasonably sure that all the children who didn't bring their lunches could purchase a lunch, how many lunches should she plan to make each day? Explain.

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