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A philanthropic organization sent free mailing labels and greeting cards to a random sample of 100,000...

A philanthropic organization sent free mailing labels and greeting cards to a random sample of 100,000 potential donors on their mailing list and received 5160donations. ​

(a) Give a 99​% confidence interval for the true proportion of those from their entire mailing list who may donate. ​

(b) A staff member thinks that the true rate is 4.9​%. Given the confidence interval you​ found, do you find that rate​ plausible?

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