According to a breast cancer study, it is known that only 1% of women have breast cancer in the US. If 1600 women are chosen randomly from Pennsylvania, what is the mean and the standard deviation of the sample proportion?
a) Mean: 0.01, Standard deviation: 0.001
b) Mean: 0.01, Standard deviation: 0.01
c) Mean: 16, Standard deviation: 4
d) Mean: 1600, Standard deviation: 40