Question: A plant produces packaged chicken for distribution to grocery stores throughout the mid-west. In a sample of 100 packages of chicken taken over one work day, it is found that seven contain the blue virus, which has no other effect on the person who consumes the chicken than to turn their skin permanently light blue.
(a) Determine an estimate with a 99% confidence interval(CI) of the proportion of one day's chicken packages that contain the virus.
(b) Determine an estimate with a 90% confidence interval(CI) of the proportion of one day's chicken packages that contain the virus.