A Random Sample of 2,000 Individuals from Three Different Cities

question 4

Essay

A random sample of 2,000 individuals from three different cities was asked whether they owned a foreign or a domestic car. The following contingency table shows the results of the survey.
​ $$\begin{array}{l}\begin{array} { c | c c c | c } &&\text { City }\\\text { Type of Car } & \text { Detroit } & \text { Atlanta } & \text { Denver } & \text { Total } \\\hline \text { Domestic } & 80 & 200 & 520 & 800 \\\text { Foreign } & 120 & 600 & 480 & 1,200 \\\hline \text { Total } & 200 & 800 & 1,000 & 2,000\end{array}\end{array}$$ At α = .05, test to determine if the type of car purchased is independent of the city in which the purchasers live.

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Definitions:

Competence

The ability and capacity to perform a task or role effectively, typically backed by specific skills, knowledge, and qualifications.

Communication Barriers

Obstacles or challenges that hinder effective exchange of information or understanding between individuals or groups.

Perceptual

Relating to the ability to interpret or become aware of something through the senses.

Impact

The effect or influence of one factor on another, which may refer to social, economic, environmental, or personal outcomes.