Use the Following Set of Observed Frequencies to Test the Independence

question 36

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 estimates of the expected frequency in row 1 (A) column 1 (C) when the two variables are independent is _______.

• A)9.6
• B)12
• C)16
• D)10
• E)20

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Definitions:

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A subset of a population that accurately reflects the members of the entire population, often used in research to draw conclusions about the population as a whole.

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Representative Sample

A smaller group within a larger population that accurately represents all members of that population.

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