Jamison Kovach Supply Company manufactures paper clips and other office products. Although inexpensive, paper clips have provided the firm with a high margin of profitability. Sample size is $140.$ Results are given for the last $10$ samples.

$\backslash$table$[[$Sample$,1,2,3,4,5,6,7,8,9,10],[$Defectives$,5,7,3,5,12,5,5,4,2,12]]$

The type of control chart that is best to monitor this process is $p-$chart $.$

a$)$ Establish the control limits to include $99\mathrm{.}73\%$ of the random variation in defectives.

$UC{L}_p=($enter your response as a number between $0$ and $1,$ rounded to three decimal places$).$