A Survey Conducted in a Small Town Yielded the Results

question 61

Essay

A survey conducted in a small town yielded the results shown in the table. $\begin{array}{l|lc} & \multicolumn{2}{|l}{\text { Men Women }} \\\hline \text { Plan to vote } & 105 & 87 \\\hline \text { Do not plan to vote } & 312 & 246\end{array}$

i) Test the claim that the intention to vote in the next presidential election is independent of the gender of the person 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:

Attentive Listener

Someone who actively listens and engages in what is being said, showing interest and understanding.

Persuasion

The process of influencing someone's beliefs, attitudes, or behaviors through communication.

Dissonance Theory

A psychological theory that explains the discomfort one feels when holding contradictory beliefs, ideas, or values at the same time.

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