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. $$\begin{array} { l | c c } & \text { Men}&\text { Women } \\\hline \text { Health insurance } & 41 & 22 \\\hline \text { No health insurance } & 34 & 24\end{array}$$ i) Test the claim that health care coverage is independent of gender. Use a 0.05
significance level.
ii) Using Yates' correction, replace $\sum \frac{(O-E)^{2}}{E}\text { with } \sum \frac{(|O-E|-0.5)^{2}}{E}$ and repeat the test.
What effect does Yates' correction have on the value of the test statistic?