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:

Knowing What

Refers to the understanding or knowledge of specific information or principles.

Audience Needs

The requirements or expectations of the audience for which content or communication is designed, influencing how messages are crafted and delivered.

Speaking Outline

A structured plan or set of notes used as a guide during an oral presentation to ensure key points are communicated effectively.

Multiple Outlines

Various preliminary plans or sketches for documents, presentations, or projects, showcasing different directions or structures.