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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.