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A bottle maker believes that 12%12% of his bottles are defective. If the bottle maker is accurate, what is the probability that the proportion of

A bottle maker believes that 12%12% of his bottles are defective.

If the bottle maker is accurate, what is the probability that the proportion of defective bottles in a sample of 412412 bottles would be less than 11%11%? Round your answer to four decimal places.

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