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?

Question

A survey conducted in a small business yielded the results shown in the table. $$\begin{array} { l | c c } 
&  \text { Men}&\text { Women  } \
\hline \text { Health insurance } & 50 & 20 \
\hline \text { No health insurance } & 30 & 10
\end{array}$$ 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?

Quizplus · Accepted Answer

The Answer of A survey conducted in a small business yielded the results shown in the table. $$\begin{array} { l | c c } 
&  \text { Men}&\text { Women  } \
\hline \text { Health insurance } & 50 & 20 \
\hline \text { No health insurance } & 30 & 10
\end{array}$$ 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?

A Survey Conducted in a Small Business Yielded the Results