The chair of the operations management department at Quality University wants to construct a p $-$ chart for determining whether the four faculty teaching the basic OM course are in control with regard to the number of students who fail the course $.$ Accordingly $,$ he sampled $100$ final grades from last year for each instructor $,$ with the following results : Instructor Number of Failures Prof. A $13$ Prof. B Prof. C $11$ Prof. D $16$ Z $-$ score table is provided below :Compute upper control limit for p chart thats controls $97\mathrm{.}5$ percent of output quality