Which of the following sample sizes for a large number of samples taken from a population will most likely result in the standard deviation of the sample proportions being the largest?

A. 66
B. 44
C. 33
D. 55

(I'm thinking it's C because the formula is s= population standard deviation/ sqrt(sample size) and since its on the bottom i figured the smaller the number on the bottom the bigger the sample proportions would be but i just wanted to check, thanks!)

Question

Which of the following sample sizes for a large number of samples taken from a population will most likely result in the standard deviation of the sample proportions being the largest?

A. 66
B. 44
C. 33
D. 55

(I'm thinking it's C because the formula is s=  population standard deviation/ sqrt(sample size) and since its on the bottom i figured the smaller the number on the bottom the bigger the sample proportions would be but i just wanted to check, thanks!)