A Survey Conducted in a Small Business Yielded the Results

question 59

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?

---

Definitions:

Interposition

A visual cue used to perceive depth; occurs when one object partially covers another, indicating that the former is closer to the viewer.

Binocular Depth Cues

Depth cues that depend on both eyes working together.

Convergence

The act of moving towards unity or uniformity, especially the tendency of the eyes to move towards each other to focus on a single point.

Monocular Depth Cues

Depth cues that can be perceived by one eye alone.