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For the Given Table of Observed Frequencies I) Compute the Row Totals, the Column Totals, and the

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Essay

For the given table of observed frequencies:
123 A 606153 B 879081 C 419482\begin{array}{cccc}\hline & 1 & 2 & 3 \\\hline \text { A } & 60 & 61 & 53 \\\text { B } & 87 & 90 & 81 \\\text { C } & 41 & 94 & 82 \\\hline\end{array}

i). Compute the row totals, the column totals, and the grand total.
ii). Construct the corresponding table of expected values.
iii). Compute the value of the chi-square test statistic.
iv). Perform a test for independence, using the α=0.05\alpha = 0.05 level of significance.


Definitions:

Specific

Clearly defined or identified; distinct from others or from the general case.

External

Related to, situated on, or derived from the outside of something or someone, often considered in relation to external influences or environments.

Internal

pertains to occurring or existing within the limits or boundaries of something; often referring to processes or features within an organization or an individual.

Unstable

Lacking consistency or predictability in state, structure, or behavior, leading to unpredictability.

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