Use A $x ^ { 2 }$ Test to Test the Claim That in the Given Contingency

question 60

Essay

Use a $x ^ { 2 }$ test to test the claim that in the given contingency table, the row variable and the column variable are independent. The table below shows the age and favorite type of music of 668 randomly selected people.
$\begin{array} { r | c c } & \text { Men } & \text { Women } \\\hline \text { Plan to vote } & 170 & 185 \\\text { Do not plan to vote } & 130 & 115\end{array}$
Use a 5 percent level of significance to test the null hypothesis that age and preferred music type are independent.

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Definitions:

Adoptive Parents

Individuals or couples who become parents through the legal process of adoption, assuming the full parental responsibility for a child who is not biologically their own.

Adopted Children

Children who are legally taken and raised by parents not biologically related to them, following a legal process.

Personality

The combination of characteristics or qualities that form an individual's distinctive character, influencing behavior, thoughts, and emotions.

Correlation

A measure that indicates the extent to which two variables fluctuate together.