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:

Well-Established Theories

Theories that have been widely accepted and validated through substantial evidence and scientific inquiry.

Studied Problem

An issue or challenge that has been the subject of detailed examination and research to understand its nature and find solutions.

Pseudoscience

A body of explanations or hypotheses that masquerades as science.

Unverifiable Claims

Statements or assertions that cannot be proven or disproven through investigation or evidence.