An article in knee surgery, sports traumatology, arthroscopy (2005, vol. 13, pp. 273–279) "arthroscopic meniscal repair with an absorbable screw: results and surgical technique" showed that only 25 out of 37 tears (67.6%) located between 3 and 6 mm from the meniscus rim were healed.

(a) calculate a 99% two-sided confidence interval on the proportion of such tears that will heal. round the answers to 3 decimal places.
(b) calculate a 99% lower confidence bound on the proportion of such tears that will heal. round the answer to 3 decimal places.