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Author Question: Suppose we know that the proportion of objects in a population that have a particular characteristic ... (Read 16 times)

cyc028

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Suppose we know that the proportion of objects in a population that have a particular characteristic of interest is 0.10. Are there any concerns if we want to calculate probabilities for the sampling distribution of\(\style{font-family:Times New Roman;}{\widehat p}\) n= 40 using a normal approximation?

Becausenis large, our only concern with using a normal approximation will be the small amount of variability in the sampling distribution of\(\style{font-family:Times New Roman;}{\widehat p}\).


Because\(\style{font-family:Times New Roman;}{\;n}\)is small here, the sampling distribution of\(\style{font-family:Times New Roman;}{\widehat p}\)should not be assumed to be approximately normal.


Because\(\style{font-family:Times New Roman;}{\widehat p}\) ≤ 0.5, the sampling distribution of\(\style{font-family:Times New Roman;}{\widehat p}\)should not be assumed to be approximately normal.


If \(\style{font-family:Times New Roman;}{\widehat p}\) < 5, then a normal approximation is not appropriate.



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Marked as best answer by cyc028 on Feb 26, 2023

dadgoere765

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cyc028

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Reply 2 on: Feb 26, 2023
Excellent


kusterl

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Reply 3 on: Yesterday
Wow, this really help

 

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