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

Check whether the standard error of the sampling distributions of bar p obtained in part(a) and part(b) are different.
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Benedict
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 $\stackrel{―}{p}$ is exactly the same in part (a) and part (b). Since the numerator of the formula of standard error of $\stackrel{―}{p}$ 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.