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Consider a Study Testing Whether the Number of Birds Resting

question 7

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Consider a study testing whether the number of birds resting on streetlights is random. Researchers surveyed 30 randomly chosen streetlights in a city known to have many birds and counted the number of birds resting on each streetlight. Data on the number of birds seen on the lights are shown. (Note: No lights had more than three birds.) What is the ?2 value we would obtain for a goodness-of-fit test comparing these data to the expectations from a Poisson process?
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 Number  birds  Number  of lights 0211621032\begin{array}{|cc|}\hline \begin{array}{l}\text { Number } \\\underline {\text { birds }}\end{array} & \begin{array}{l}\text { Number } \\\underline {\text { of lights }}\end{array} \\0 & 2 \\1 & 16 \\2 & 10 \\\geq 3 & 2 \\\hline\end{array}

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Definitions:

Error of Estimation

The discrepancy between a population parameter and its estimate, indicating the uncertainty associated with the estimation process.

Statistic

A single measure, calculated from sample data, used to summarize a characteristic of the sample.

Parameter

A characteristic or measure that can define or summarize a particular aspect of a statistical population or model.

Estimation

The process of finding an approximate value of some parameter—such as a mean or proportion—of a population, based on random sample data.

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