The Data Below Represents the Fields of Specialization for a Randomly

question 19

Essay

The data below represents the fields of specialization for a randomly selected sample of undergraduate students. We want to determine whether there is a significant difference in the fields of specialization between regions of the country.
$$\begin{array} { l r r r r r } & \text { Northeast } & \text { Midwest } & \text { South } & \text { West } & \text { Total } \\\text { Business } & 54 & 65 & 28 & 93 & 240 \\\text { Engineering } & 15 & 24 & 8 & 33 & 80 \\\text { Liberal Arts } & 65 & 84 & 33 & 98 & 280 \\\text { Fine Arts } & 13 & 15 & 7 & 25 & 60 \\\text { Health Sciences } &\underline{ 3}& \underline { 12 } & \underline { 4 } & \underline { 21 } & \underline { 40 } \\&150&200&80&270&700\end{array}$$
a. Determine the critical value of the chi-square ?2 for this test of independence.
b. Calculate the value of the test statistic.
c. What is the conclusion for this test? Let ? = .05.

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Definitions:

Human Biology

The scientific study of the biological and physiological aspects of human beings, their behavior, and how they interact with their environment.

Culture

The set of knowledge, beliefs, morals, customs, laws, and habits acquired by humans as members of society, contributing to the societal values and norms.

Monozygotic Twins

Twins that originate from a single fertilized egg, resulting in two individuals who are genetically identical.

Genes

The basic physical and functional units of heredity, made up of DNA, genes act as instructions to make molecules called proteins.