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A random sample of 47 manuscripts typed by Katlyn showed that 13 of them had errors. A random sample of 85 manuscripts typed by Dara

A random sample of 47 manuscripts typed by Katlyn showed that 13 of them had errors. A random sample of 85 manuscripts typed by Dara showed that 31 of them had errors. Find a 99% confidence interval for the difference in the proportion of all manuscripts with errors typed by Katlyn compared to those typed by Dara.

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