In a sample of 60 mice, a biologist found that 46% were able to run a maze in 30 seconds or less. Find the 99% limit for the population proportion of mice who can run that maze in 30 seconds or less?
a. 31.0% < p < 61.0%
b. 21.1% < p < 70.9%
c. 37.7% < p < 54.3%
d. 29.4% < p < 62.6%