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:

Paleoanthropology

A branch of anthropology focusing on the study of ancient humans and their predecessors through fossils and other remains.

Biological Family

The group of individuals related by blood or genetics, including parents, siblings, and extended relatives such as grandparents, aunts, and uncles.

HRAF

The Human Relations Area Files, a database of ethnographic information that facilitates cross-cultural studies.

Cross-cultural

Pertaining to or comparing different cultures, emphasizing differences and similarities in behaviors, practices, and beliefs.