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A Required Condition for Using the Normal Approximation to the Binomial

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A required condition for using the normal approximation to the binomial in testing the difference between two population proportions is that n1p1 ≥ 30 and n2p2 ≥ 30.


Definitions:

Type II Error

A statistical error made when failing to reject a false null hypothesis, also known as a false negative.

Null Hypothesis

is a default hypothesis that there is no significant difference or effect.

Alternative Hypothesis

The alternative hypothesis proposes that there is a statistically significant difference between data sets or effects, contrary to the null hypothesis.

Type II Error

The statistical error that occurs when a test fails to reject a false null hypothesis, also known as a "false negative" finding.

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