A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random sample of 175 machines is taken, and 59 of the machines in the sample malfunction. Based upon this, compute a 99% confidence interval for the proportion of all X-ray machines that malfunction. Then find the lower limit and upper limit of the 99%

confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.