Tetanus, commonly called lockjaw, is a bacterial infection characterized by muscle spasms. There is no cure for tetanus, but proper treatment can reduce symptoms and lead to recovery. A large clinical drug trial aims to compare the current antibiotic treatment for tetanus to a new antibiotic. Researchers gather a sample of 2000 participants who have tetanus. 1200 of these patients are randomly selected to receive the old antibiotic treatment, and the other 800 patients receive the new treatment. If 590 of the patients receiving the old antibiotic recover and 445 of those receiving the new antibiotic recover, construct a 99% confidence interval for (Pnew Pold), the difference in how effective the two antibiotics are.