A Survey Conducted in a Small Business Yielded the Results $0.05$

question 87

Essay

A survey conducted in a small business yielded the results shown in the table.

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:

Lungs

A pair of spongy, air-filled organs located on either side of the chest (thorax), which play a crucial role in the respiratory system.

Pharynx

The muscular tube at the back of the nasal and oral cavities that connects them to the esophagus.

Respiratory System

The network of organs and tissues, including the lungs and airways, involved in the intake of oxygen and the removal of carbon dioxide from the body.

Tongue

A muscular organ in the mouth that manipulates food for chewing and swallowing, and is also a primary organ of taste.