Assume that a sample is used to estimate a population proportion p. Find the margin of error M.E. that corresponds to a sample of size 108 with 13 successes at a confidence level of 99.9%.

M.E. = %
(report answer accurate to one decimal place; answer should be reported as a percent, not a decimal—though do not type the percent sign)

Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.