A survey conducted in a small business yielded the results shown in the table. $\begin{array}{l|lc}
&\text { Men}&\text { Women } \
\hline \text { Health insurance } & 41 & 22 \
\hline \text { No health insurance } & 34 & 24
\end{array}$
i) Test the claim that health care coverage is independent of gender. 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?

Question

A survey conducted in a small business yielded the results shown in the table. $\begin{array}{l|lc} 
&\text { Men}&\text {  Women } \
\hline \text { Health insurance } & 41 & 22 \
\hline \text { No health insurance } & 34 & 24
\end{array}$
i) Test the claim that health care coverage is independent of gender. 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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The Answer of A survey conducted in a small business yielded the results shown in the table. $\begin{array}{l|lc} 
&\text { Men}&\text {  Women } \
\hline \text { Health insurance } & 41 & 22 \
\hline \text { No health insurance } & 34 & 24
\end{array}$
i) Test the claim that health care coverage is independent of gender. 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?

A Survey Conducted in a Small Business Yielded the Results