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) The Paralyzed Veterans of America is a philanthropic organization that relies on contributions. They send...

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Basic Math

) The Paralyzed Veterans of America is a philanthropicorganization that relies on contributions. They send free mailinglabels and greeting cards to potential donors on their list and askfor a voluntary contribution. To test a new campaign, they recentlysent letters to a random sample of 100,000 potential donors andreceived 4781 donations.

i. Give a 95% confidence interval for the true proportion ofthose from their entire mailing list who may donate. What is themargin of error of your confidence interval?

ii. Interpret your confidence interval. A staff member thinksthat the true rate is 5%. Given the confidence interval you found,do you think that percentage plausible? Why?

iii. A confidence interval based on the same sample is (0.04676,0.04886). What is the confidence level of this confidenceinterval?

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