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A bottle maker calculates that 26% of his bottles are defective. If the bottle maker is...

A bottle maker calculates that 26% 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 499 bottles would differ from the population proportion by less than 4%? Round your answer to four decimal places.

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Answer #1

P(Differs from population proportion by less than 4%)

= P(-2.04 < z < 2.04)

= 0.9584

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