A catalog sales company promises to deliver orders placed on

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 82% plusminus 5%. Select the statement that best describes the confidence. One can be 95% confident that the true population percentage of orders placed on the Internet that arrive within 3 days is between 77% and 87%. One can be 95% confident that all random samples of customers will show that 82% of orders arrive on time. 95% of all random samples of customers will show that between 77% and 87% of orders arrive on time. Between 77% and 87% of all orders arrive on time.

Solution

The sratement A is correct because we find the confidence interval with repect to the population parameter. So,

One can be 95% confident that the true population percentage of orders placed on the internet that arrive within 3 days is between 77% and 87%