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The Data Below Represents the Fields of Specialization for a Randomly

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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.
 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.     a.Determine the critical value of the chi-square  \chi <sup>2</sup> for this test of independence. b.Calculate the value of the test statistic. c.What is the conclusion for this test? Let  \alpha  = .05.
a.Determine the critical value of the chi-square χ\chi 2 for this test of independence.
b.Calculate the value of the test statistic.
c.What is the conclusion for this test? Let α\alpha = .05.


Definitions:

Extrusive Rock

Igneous rock that forms on the Earth's surface as lava cools and solidifies.

Igneous Rock

Stone created by magma or lava hardening as it cools.

Viscosity

A measure of a fluid's resistance to flow, where fluids with high viscosity flow more slowly than those with low viscosity.

Crystal Content

The proportion of crystals within a rock, influencing its texture and appearance, particularly relevant in the study of igneous rocks.

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