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A researcher believes that 8% of pet dogs in Europe are Labradors. If the researcher is right, what is the probability that the proportion of

A researcher believes that 8% of pet dogs in Europe are Labradors.

If the researcher is right, what is the probability that the proportion of Labradors in a sample of 502 pet dogs would differ from the population proportion by greater than 3%? Round your answer to four decimal places.

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