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

Khaleesi Herbert 2020-12-12 Answered
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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Expert Answer

Clara Reese
Answered 2020-12-13 Author has 6446 answers
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.
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