Please see the below questions which require an analysis of errors and inefficiencies. We must develop sampling requirements in order to make a confirmatory statement about the error rates. Providing a thorough breakdown of steps taken to derive answers for part a and b would be greatly appreciated.

Management in an emergency department has become concerned with errors and inefciencies occurring in blood sample collection. The errors of concern include mislabeled blood samples, hemolyzed blood samples, and blood culture contaminations. Beyond raising concerns about patient safety and satisfaction, the errors are increasing costs by duplicating services, using extra supplies, creating longer wait times and creating unnecessary treatment. a] An initial study of 150 samples found that the incidence of mislabeling was [1.15%. How many observations would be required to estimate the actual percentage of mislabeling to within 0.1%, with confidence of 95 .596 b] Initial results also found that the incidence of hemolysis was 13%. How many observations would it require to estimate the actual percentage of hemolysis to within 2%, with confidence of 95.5%