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Alana researched $5$ downtown districts throughout each county in her state. Each county has an equal number of downtown districts. $\newline$ Is this sample of the downtown districts in the state likely to be biased? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify biased samples

Full solution

Q. Alana researched

5

downtown districts throughout each county in her state. Each county has an equal number of downtown districts.

\newline

Is this sample of the downtown districts in the state likely to be biased?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand sample size: Step $1$ : Understand the sample size and distribution. $\newline$ Alana researched $5$ downtown districts in each county. Assuming there are multiple counties, each with an equal number of districts, she has sampled uniformly across the counties.
Consider representation: Step $2$ : Consider the representation of the sample. Since each county is represented equally and every county has the same number of downtown districts, the sample should theoretically represent the state's downtown districts fairly.
Evaluate biases: Step $3$ : Evaluate potential biases. $\newline$ If all counties are similar and there's no over- or under-representation of any particular type of district, the sample is less likely to be biased. However, this assumes that all districts within a county are homogeneous, which might not be true.

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