The paralyzed veterans of america is a philanthropic, Ask an Expert

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The Paralyzed Veterans of America is a philanthropic organization that relies on contributions. They send free mailing labels and greeting cards to potential donors on their list and ask for a voluntary contribution. To test a new campaign, they recently sent letters to a random sample of 100,000 potential donors and received 4781 donations.

a) Give a 95% 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%. Given the confidence interval you found, do you find that percentage plausible?

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