FDA report on pesticides in food. Periodically, the Food and Drug Administration (FDA) produces a report as part of its pesticide monitoring program. The FDA’s report covers a variety of food items, each of which is analyzed for potentially harmful chemical compounds. Recently, the FDA reported that no pesticides at all were found in 91% of the domestically produced vegetable samples (Pesticide Monitoring Program: Fiscal Year 2017 Pesticide Report, US Food and Drug Administration). Consider a random sample of 800 vegetable items analyzed for the presence of pesticides. Based on a sample of 800 vegetable items, is it likely you would observe less than half without any traces of pesticide? Explain.

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FDA report on pesticides in food. Periodically, the Food and Drug Administration (FDA) produces a report as part of its pesticide monitoring program. The FDA’s report covers a variety of food items, each of which is analyzed for potentially harmful chemical compounds. Recently, the FDA reported that no pesticides at all were found in 91% of the domestically produced vegetable samples (Pesticide Monitoring Program: Fiscal Year 2017 Pesticide Report, US Food and Drug Administration). Consider a random sample of 800 vegetable items analyzed for the presence of pesticides.

Based on a sample of 800 vegetable items, is it likely you would observe less than half without any traces of pesticide? Explain.

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Suppose p is the true proportion of vegetable items, without any traces of pesticide.

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