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?

Question

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?

Quizplus · Accepted Answer

The Answer of 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?

A Survey Conducted in a Small Business Yielded the Results