<h2>
Answer with explanation:</h2>
We know that the mean and standard deviation of the sampling distribution of p is given by :-
, here p is the proportion of successes ion and n is the sample size.
We are given that ,
Proportion of successes p = 0.61
a) n= 20
The mean and standard deviation of the sampling distribution of p is given by :-
So, mean = 0.61
standard deviation = 0.1091
(b) n = 30
mean
=0.61
standard deviation =0.0891
(c) n = 40
mean
=0.61
standard deviation =0.0771
(d) n = 60
mean =0.61
standard deviation =0.0630
(e) n = 110
mean =0.61
standard deviation = 0.0465
(f) n = 210
mean =0.61
standard deviation =0.0337