A local job training program has been funded by the state of Virginia. You are contracted to evaluate the effectiveness of this program and determine if it has improved the hourly wages of workers.

You have information on 600 people who applied to be part of the 12-week job training program. Due to capacity constraints, 200 of these applicants were accepted into the program while 400 were denied acceptance.

The data includes hourly wages of all 600 individuals 1 year after the job training program ended, including those who were accepted into the job training program (Accepted) and those who were denied entry (Denied). For clarity, this is a cross-section of data after any job training has taken place.

You want to compare the mean hourly wage of those who completed the job training vs. those who applied but were denied.

A. (2 points) Construct the 90% confidence interval and the 99% confidence interval for the mean hourly wage of those accepted into the program. Explain what these confidence intervals tell us and why there is a difference between these intervals.