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A food-products company conducted a market survey by randomly sampling and interviewing 1000 consumers to determine which brand of breakfast cereal they prefer. Suppose 400

A food-products company conducted a market survey by randomly sampling and interviewing 1000 consumers to determine which brand of breakfast cereal they prefer. Suppose 400 consumers were found to prefer the company's brand. Please find a 99% confidence interval for the proportion of all consumers who prefer the company's brand and interpret the interval in English.

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