Consider the following piece-wise function.
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Using the Central Limit Theorem, it is found that these conditions are required to avoid the high variability associated with small samples.
<h3>What does the Central Limit Theorem states?</h3>It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportion is approximately normal with mean and standard deviation
, as long as
and
.
From the equation of the standard error, we could see that if one of the conditions is not respected, the standard error would be very high, indicating a low accuracy of the estimate, hence it is found that these conditions are required to avoid the high variability associated with small samples.
More can be learned about the Central Limit Theorem at brainly.com/question/24663213