a philanthropic organization sent free mailing labels and greeting cards to... A

Question

a philanthropic organization sent free mailing labels and greeting cards to... A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100,000 potential donors oh their mailing ist and receved 4988 donations (a) Give a 99% 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 4 7% Given the confidence interval you found, do you find that rate plausible? (a) what is the 99% confidence interval? The 99% confidence interval is from L1% to ?%. (Round to two decimal places as needed)

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

99% confidence interval results:

Hence,

a) 99% confidence interval will be:

4.81% to 5.16%

b) No, the rate is not plausible because 4.7% is less than the lower bound of confidence interval.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 4986 100000 0.04986 0.00068828759 0.048087089 0.051632911

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