Question

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

Answer 1

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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