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According to an article the bottled water you are drinking may contain more bacteria and other potentially carcinogenic chemicals than are allowed by state and federal regulations. Of the more than 1000 bottles studied, nearly one-third exceeded government levels. Suppose that a department wants an updated estimate of the population proportion of bottled water that violates at least one government standard. Determine the sample size (number of bottles) needed to estimate this proportion to within + 0.02 with 99% confidence. The sample size needed to estimate this proportion to within 1 0.02 with 99% confidence is . (Round up to the nearest whole number.)