A catalog sales company promises to deliver orders placed on the internet within

Question

A catalog sales company promises to deliver orders placed on the internet within 3 days. Follow-up calls to a few randomly selected customers show that a 95% confidence interval for the proportion of all orders that arrive on time is 81 % plusminus 3%. Select the statement that best describes the confidence. A. 95% of all random samples of customers will show that between 78% and 84% of orders arrive on time. B. Between 78% and 84% of all orders arrive on time. C. One can be 95% confident that all random samples of customers will show that 81% of orders arrive on time. D. One can be 95% confident that the true population percentage of orders placed on the Internet that arrive within 3 days is between 78% and 84%.

Explanation / Answer

The meaning of 95% confidence interval will be:

One can be 95% confident that the true population percentage of orders on the internet that arrive within 3 days is between 78% and 84%.

Option D is correct.

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