As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution when _____

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18-07-2022
Mathematics

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As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution when _____

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pranavgera011 pranavgera011 · Answer 1 · 2022-07-21T12:26:08+02:00

As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution whenever the sample size is large.

What is the Central limit theorem?

The Central limit theorem says that the normal probability distribution is used to approximate the sampling distribution of the sample proportions and sample means whenever the sample size is large.
Approximation of the distribution occurs when the sample size is greater than or equal to 30 and n(1 - p) ≥ 5.

Thus, as a rule of thumb, the sampling distribution of the sample proportions can be approximated by a normal probability distribution when the sample size is large and each element is selected independently from the same population.

Learn more about the central limit theorem here:

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