(Situation A) to Construct a P-Chart for a Manufacturing Process

Multiple Choice

(Situation A) To construct a p-chart for a manufacturing process, 20 samples of size 100 were selected. The results are shown below: $$\begin{array} { c c c c c c } \hline \text { Sample } & \text { Sample Size } & \text { Defectives } & \text { Sample } & \text { Sample Size } & \text { Defectives } \\\hline 1 & 100 & 10 & 11 & 100 & 8 \\2 & 100 & 8 & 12 & 100 & 8 \\3 & 100 & 9 & 13 & 100 & 5 \\4 & 100 & 6 & 14 & 100 & 9 \\5 & 100 & 7 & 15 & 100 & 7 \\6 & 100 & 3 & 16 & 100 & 9 \\7 & 100 & 8 & 17 & 100 & 11 \\8 & 100 & 6 & 18 & 100 & 4 \\9 & 100 & 11 & 19 & 100 & 6 \\10 & 100 & 10 & 20 & 100 & 8 \\\hline\end{array}$$
-Calculate the upper and lower control limits for the p-chart.

A) $\bar { p } \pm .1783$
B) $\bar { p } \pm .0797$
C) $\bar { p } \pm .0532$
D) $\bar { p } \pm .0266$