Question

A town's department of public works is concerned about adverse public reaction to a sewer project that is currently in progress. Because of this, the commissioner of public works has authorized a weekly survey to be conducted of town residents. Each week, a sample of 100 residents is questioned on their feelings about the project. The results to date are shown below. Analyze these data using a control chart that would provide for a 95% confidence interval.
Please show work.

week	1	2	3	4	5	6	7	8
# opposed	10	8	12	6	4	14	8	10

Answer 1

Since point 5 and 6 tie outside the control chart the community sentiment is not statle. \r\n Here p_1 10/100 = 0.10 P_2= theta/100 = 0.0 theta P_3 = 0.12 P_4 = 0.06 P_5 = 0.04 P_6 = 0.14 P_7 = 0.08 theta P_8 = 0.10 n = 100, K = theta,P = sigma d_1/100 times theta = 72/theta 00 =0.09 A Control chart with 95% risk of type 1 essar means a chart for probability of confidence of 0.95 CL = P = 0.09 WCL = P + Z squareroot P(1-P)/n = 0.09 + 1.65 squareroot 0.09 times 0.91/100 = 0.099 + 1.65 times 0.02 theta 6 = 0.137 LCL = P-Z squareroot P(1-P)/n = 0.09-1.65 squareroot 0.09 times 0.91/100 = 0.043