A philanthropic organisation sent free mailing labels and greeting cards to a random sample of 100 comma 000 potential donors on their mailing list and received 5066 donations. What is the 99% confidence interval?

The 99% confidence interval for the proportion of donors who donated is (0.0547, 0.0585).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

For this problem, we have that:

99% confidence level

So , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 99% confidence interval for the proportion of donors who donated is (0.0547, 0.0585).

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