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?

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Definitions:

Extrusion Reflex

A reflex in infants where they use their tongue to push out solids or foods they are not yet ready to swallow.

Solid Foods

Food items that are not liquid, introduced to infants' diets around 6 months of age to meet nutritional needs beyond breastfeeding or formula.

Gross Motor Development

The progression of physical abilities in children and infants, including crawling, walking, jumping, and balance, using large muscles.