You are the newly appointed assistant administrator at a local hospital, and your first project is to investigate the quality of the patient meals put out by the food$-$service department. You conducted a $10-$day survey by submitting a simple questionnaire to the $400$ patients with each meal, asking that they simply check off that the meal was either satisfactory or unsatisfactory. For simplicity in this problem, assume that the response was $1,000$ returned questionnaires from the $1,200$ meals each day. The results are as follows:

NUMBER OF UNSATISFACTORY MEALS SAMPLE SIZE

December $1831,000$

December $2541,000$

December $3791,000$

December $4731,000$

December $5601,000$

December $6671,000$

December $7531,000$

December $8351,000$

December $9401,000$

December $10621,000$

$60610,000$

Determine the p$$

$,$ Sp

$,$ UCL and LCL based on the questionnaire results, using a confidence interval of $95\mathrm{.}5$ percent, which is two standard deviations

Note: Round your answers to $4$ decimal places.