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Consider a Study Testing Whether Birds Were Equally Likely to Rest

question 33

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Consider a study testing whether birds were equally likely to rest on each streetlight. 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.) Using the ?2 value we obtained for a goodness-of-fit test comparing these data to the expectations from a Poisson process and the list of critical values shown, what is the conclusion of our test?
?
 Number  birds  Number  of lights 031122936\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 & 3 \\1 & 12 \\2 & 9 \\\geq 3 & 6 \\\hline\end{array} χ2 critical values  for df=2 Sig. level  Value 0.055.990.0257.380.019.21\begin{array}{c}\chi^{2} \text { critical values }\\\text { for } d f=2\\\begin{array}{ll}\text { Sig. level } & \text { Value } \\\hline 0.05 & 5.99 \\0.025 & 7.38 \\0.01 & 9.21\end{array}\end{array} ?


Definitions:

Minimum Periodic Rental

In leasing agreements, it refers to the lowest amount that the lessee must pay over a specified period.

Capital Lease

A lease agreement that is considered a purchase of an asset for accounting purposes, with the lessee assuming both the benefits and risks of ownership.

Interest Expense

The cost incurred by an entity for borrowed funds, calculated as the principal times the interest rate over a period.

Residual Value

The estimated value that an asset will have at the end of its useful life, often used in calculating depreciation.

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