Here Is a Bivariate Table with Observed Counts and Expected

question 20

Short Answer

Here is a bivariate table with observed counts and expected counts. What is the value of chi-square for this table?

$$\begin{array} { | l l | c | c | } \hline& & { \text { RACE } } \\\hline \text { SEX } && \text { white } & \text { black } \\\hline \text { male } & \text { observed } &2&6&8\\& \text { expected } & 4 & 4 \\\hline\end{array}$$
$$\begin{array} { | l r | l | l | l } \hline \text { female }&\text { observed } & 6 & 2&8 \\&\text { expected } & 4 & 4 & \\\hline&&8&8&16\\\end{array}$$
chi-square = __________

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Definitions:

Tautology

A statement or formula that is true in every possible interpretation, often due to its repetitive or redundant nature.

Symbolic Notation

The use of symbols and abbreviations to represent logical expressions, statements, and arguments.

Atomic Components

The fundamental elements or parts that make up a larger system, often considered as the most basic and indivisible units.

Contingency

A prospective happening or condition that might occur but is unpredictable with absolute certainty.