The IRS is concerned with improving the accuracy of tax information given by its representatives over the telephone. Previous studies involved asking a

set of $25$ questions of a large number of IRS telephone representatives to determine the proportion of correct responses. Historically, the average

proportion of correct responses has been $73$ percent. Recently, IRS representatives have been receiving more training. On April $26,$ the set of $25$ tax

questions were again asked of $20$ randomly selected IRS telephone representatives. The proportions of correct answers were:

$22,16,19,18,19,13,21,21,17,21,23,16,22,21,17,19,23,16,21,$ and $15.$

a$.$ What are the upper and lower control limits for the appropriate $p-$chart for the IRS? Use z$=3.$

The $UC{L}_p$ equals and the $LC{L}_p$ equals $.($Enter your responses rounded to four decimal places. If your answer for $LC{L}_p$ is negative, enter this

value as $0.)$