Why should I use a 1-sample Poisson rate test?

To perform this test, select Stat > Basic Statistics > 1-Sample Poisson Rate.

Use the 1-sample Poisson rate test to estimate the rate of occurrence of a population and compare it to a target or reference value. Using this test you can:
  • Determine whether the rate of occurrence for a group differs from a specified value.
  • Calculate a range of values that is likely to include the population rate of occurrence.

For example, Company A manufactures televisions and has counted the number of units with defective screens they produce each quarter for the previous ten years. Management decides that 20 defective units per quarter is the maximum acceptable rate, and they want to determine whether their factory meets this specification.

For 1-Sample Poisson Rate, the hypotheses are:
Null hypothesis
H0: λ = λ0 The population rate of occurrence (λ) equals the hypothesized rate of occurrence (λ0).
Alternative hypothesis
Choose one:
H1: λ ≠ λ0 The population rate of occurrence (λ) differs from the hypothesized rate of occurrence (λ0).
H1: λ > λ0 The population rate of occurrence (λ) is greater than the hypothesized rate of occurrence (λ0).
H1: λ < λ0 The population rate of occurrence (λ) is less than the hypothesized rate of occurrence (λ0).
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