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In: Statistics and Probability

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

A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100 comma 000 potential donors on their mailing list and received 5404 donations.

​(a) Give a 90​% 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 5.2​%. Given the confidence interval you​ found, do you find that rate​ plausible?

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