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When Using a Poisson Distribution to Approximate a Binomial Distribution

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When using a Poisson distribution to approximate a binomial distribution, the standard deviation of the Poisson distribution is np where n is the sample size and p is the probability of an event of interest.


Definitions:

Region of Rejection

The range of values in hypothesis testing that, if the test statistic falls within, leads to the rejection of the null hypothesis.

Probability (p)

The likelihood of a specific event or outcome occurring, expressed as a number between 0 and 1.

Hypothesis Testing

A statistical method used to make inferences or decisions about population parameters based on sample data, often involving testing an assumption or claim.

Research Hypothesis

A statement positing a relationship between variables or indicating differences among groups, which the research is designed to test.

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