The standard error of fp computed in part (a) is 0.0352

The standard error of p computed in part (b) is 0.0352

It can be seen that standard error of \(\overline{p}\) is exactly the same in part (a) and part (b). Since the numerator of the formula of standard error of \(\overline{p}\) is p(1 — p) and whenever the value of p(1 — p) is same and the sample size is equal, the value of standard error will be the same.

The standard error of p computed in part (b) is 0.0352

It can be seen that standard error of \(\overline{p}\) is exactly the same in part (a) and part (b). Since the numerator of the formula of standard error of \(\overline{p}\) is p(1 — p) and whenever the value of p(1 — p) is same and the sample size is equal, the value of standard error will be the same.