Use the Following Set of Observed Frequencies to Test the Independence

question 72

Multiple Choice

Use the following set of observed frequencies to test the independence of the two variables.Variable one has values of 'A' and 'B'; variable two has values of 'C', 'D', and 'E'. $$\begin{array} { | l | l | l | l | } \hline & \mathrm { C } & \mathrm { D } & \mathrm { E } \\\hline \mathrm { A } & 12 & 10 & 8 \\\hline \mathrm { B } & 20 & 24 & 26 \\\hline\end{array}$$ Using $\alpha$ = 0.05, the observed chi-square value is _______.

• A)0
• B)0.69
• C)1.54
• D)21.28
• E)8.29

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Definitions:

Causation

The action of causing something, indicating a relationship between two events where one directly effects the change in the other.

Behavior

The actions or reactions of an object or organism, often in response to its environment or stimuli.

Alternative Explanations

Other possible interpretations or reasons that could account for observed outcomes or phenomena, challenging the initial hypothesis.

Cook And Campbell

Researchers known for their contributions to the field of methodology, particularly regarding experimental design and validity.