A Survey Conducted in a Small Town Yielded the Results

question 19

Essay

A survey conducted in a small town yielded the results shown in the table. $\begin{array}{l|lc} &\text { Men }&\text { Women } \\\hline \text { Plan to vote } & 105 & 87 \\\hline \text { Do not plan to vote } & 312 & 246\end{array}$
i) Test the claim that the intention to vote in the next presidential election is independent of the gender of the pel being surveyed. Use a $0.05$ significance level.
ii) Using Yates' correction, replace $\sum {\frac { ( \mathrm { O } - \mathrm { E } ) ^ { 2 } } { \mathrm { E } }}$ with $\sum{\frac { ( | \mathrm { O } - \mathrm { E } | - 0.5 ) ^ { 2 } } { \mathrm { E } }}$ and repeat the test. What effect does Yates correction have on the value of the test statistic?

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Definitions:

Government Intervention

Refers to the actions taken by a government to influence or directly regulate various aspects of its economy, social affairs, or public policy.

Workplace Governance

The system by which workplaces are directed and controlled, focusing on the relationship between management, the workforce, and other stakeholders.

Labor Market

The supply and demand dynamics of the workforce, where employers seek to hire labor and workers seek employment, influenced by factors like wages, skills, and economic conditions.

Labor Markets

The supply and demand dynamics of labor, where employers seek to hire workers and workers seek employment, influenced by factors like wages, skills, and economic conditions.