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A Company Wants to Determine If Its Employees Have Any χ02\chi { } _ { 0 } ^ { 2 }

question 24

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A company wants to determine if its employees have any preference among 5 different health plans which it offers to them. A sample of 200 employees provided the data below. Find the critical value χ02\chi { } _ { 0 } ^ { 2 } to test the claim that the probabilities show no preference. Use α=0.01\alpha = 0.01 .
 Plan 12345 Employees 6530185532\begin{array}{l|cllll}\text { Plan } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Employees } & 65 & 30 & 18 & 55 & 32\end{array}


Definitions:

Asian Cultures

The practices, norms, and societal structures that are specific to the countries and peoples of Asia, known for their diverse customs, traditions, and philosophies.

Social Support

Assistance and comfort received from friends, family, and the community, which is crucial for mental and physical health.

European Americans

Individuals in the United States who trace their ancestry to Europe.

Health Psychology

A field of psychology focused on how biological, psychological, and social factors affect health and illness.

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