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Is bottled water safe to drink? According to an article in U.S. News & World Report (April 12, 1999), the Natural Resources Defense Council warns that the bottled water you drink may contain more bacteria and other potentially carcinogenic chemicals allowed by state and federal regulations. Suppose that the Natural Resources Defense Council wants an updated estimate of the population proportion of bottled water that dilates at least one government standard.
a) Determine the sample size (number of bottles) needed to estimate this proportion to within ±0.01 with 99% confidence.
b) In a study, Of the more than 1,000 bottles studied, nearly one-third exceeded government levels. Determine the sample size (number of bottles) needed to estimate this proportion to within ±0.1 with 99% confidence.
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