A study published in JAMA in 2004 examined past results of other studies on bariatric surgery. Bariatric surgery is done to replace the size of the stomach in various ways. It is typically used on only obese patients, and one the traditional form of the surgery, gastric bypass has a 1% mortality (death) rate caused by the surgery. However, in the studies reporting on the effects of this surgery on Type II diabetes, 1417 of 1846 diabetic patients recovered completely from diabetes after surgery. These patients no longer need medication like insulin (which is injected into the skin) or pills to help manage blood sugar.

What is the 90%, 95% and 99% Confidence Interval for the percentage of recovery from diabetes (2004) data? (to four decimal places for the proportion - two decimal places if you give your answer as a percentage).