A Survey Conducted in a Small Business Yielded the Results

question 25

Essay

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

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Definitions:

DNA Synthesis

The process by which a cell makes an exact copy of its DNA, allowing for genetic information to be passed from one generation to the next.

Discontinuous Strand

A strand of DNA that is synthesized in short segments during DNA replication, also known as the lagging strand.

Fred Griffith

A British bacteriologist whose experiments in 1928 demonstrated the principle of bacterial transformation, an essential discovery that paved the way for understanding DNA as the material of heredity.

Pneumonia

A respiratory condition marked by infection of the lungs, leading to symptoms like coughing, fever, and difficulty breathing.