A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100,000 potential donors on their mailing list and received 5331 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 5.6​%. Given the confidence interval you​ found, do you find that rate​ plausible? ​(a) What is the 95​% confidence​ interval?   The 95​% confidence interval is from nothing​% to nothing​%. ​(Round to two decimal places as​ needed.) ​(b) Given the confidence interval you​ found, is the proposed true​ rate, 5.6​%, ​plausible?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A philanthropic organisation sent free mailing labels and greeting cards to a random sample of
100,000
potential donors on their mailing list and received
5331
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
5.6​%.
Given the confidence interval you​ found, do you find that rate​ plausible?
​(a) What is the
95​%
confidence​ interval?
 
The
95​%
confidence interval is from
nothing​%
to
nothing​%.
​(Round to two decimal places as​ needed.)
​(b) Given the confidence interval you​ found, is the proposed true​ rate,
5.6​%,
​plausible?
 
 
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