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 to a large number of IRS telephone representatives to determine the proportion of correct responses. Historically, the average proportion of correct responses has been 74 percent. Recently, IRS representatives have been receiving more training. On April 26, the set of 25 tax questions was again asked to 20 randomly selected IRS telephone representatives. The proportions of correct answers were: 20, 16, 19, 21, 19, 21, 21, 16, 17, 16, 22, 16, 23, 17, 21, 14, 23, 21, 21, and 16.
a. What are the upper and lower control limits for the appropriate p-chart for the IRS? Use z = 3.
The UCLp = ____ and the LCLp = ____
(Enter your responses rounded to four decimal places. If your answer for LCLp is negative, enter this value as 0.)