Consider a Study Testing Whether the Number of Birds Resting

question 7

Multiple Choice

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?
?
$\begin{array}{|cc|}\hline \begin{array}{l}\text { Number } \\\underline {\text { birds }}\end{array} & \begin{array}{l}\text { Number } \\\underline {\text { of lights }}\end{array} \\0 & 2 \\1 & 16 \\2 & 10 \\\geq 3 & 2 \\\hline\end{array}$

• A) 3.85
• B) 5.85
• C) 7.85
• D) 9.85

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