# Check whether the standard error of the sampling distributions of overline{p} obtained in part(a) and part(b) are different.

Check whether the standard error of the sampling distributions of $$\overline{p}$$ obtained in part(a) and part(b) are different.

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Clara Reese
The standard error of $$\overline{p}$$ computed in part (a) is 0.0352
The standard error of $$\overline{p}$$ 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.