A Survey Conducted in a Small Business Yielded the Results

Essay

A survey conducted in a small business yielded the results shown in the table. $$\begin{array} { l | c c } & \text { Men}&\text { Women } \\\hline \text { Health insurance } & 50 & 20 \\\hline \text { No health insurance } & 30 & 10\end{array}$$ i) Test the claim that health care coverage is independent of gender. Use a 0.05
significance level.
ii) Using Yates' correction, replace $\sum { \frac { ( \mathrm { O } - \mathrm { E } ) ^ { 2 } } { E } } \text { with } \sum { \frac { ( | \mathrm { O } - \mathrm { E } | - 0.5 ) ^ { 2 } } { E } }$ and repeat the test.
What effect does Yates' correction have on the value of the test statistic?