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

question 33

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:

Treaty of Versailles

The 1919 peace treaty that ended World War I, imposing heavy reparations and territorial losses on Germany.

Austria

A landlocked country in Central Europe known for its rich cultural heritage and historical significance.

Josip Broz

Better known as Tito, was the communist leader of Yugoslavia from the end of World War II until his death in 1980, recognized for his independent policies.

Anti-Nazi Partisans

Resistance fighters who actively opposed and fought against the Nazi regime during World War II.