In an experiment using 30 mice, the sample proportion of the mice that gained weight after a drug injection is 0.65. What is the 99.7% confidence interval for the actual proportion in the population?
a)between 0.602 and 0.697
b)between 0.563 and 0.737
c)between 0.476 and 0.824
d)between 0.389 and 0.911