Find the Rejection Region for a Test of Independence of Two

question 2

Multiple Choice

Find the rejection region for a test of independence of two classifications where the contingency table contains $r = 2$ rows and $c = 4$ columns and $\alpha = .10$ .

• A) \(\chi ^ { 2 } > 13.362\)
• B) \(\chi ^ { 2 } > 6.251\)
• C) \(\chi ^ { 2 } > 15.507\)
• D) \(\chi ^ { 2 } > 22.307\)

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Definitions:

Hicksian Substitution Effect

Alternative to the Slutsky equation for decomposing price changes without recourse to indifference curves.

Indifference Curves

A graph showing different bundles of goods between which a consumer is indifferent.

Lagrangian

Function to be maximized or minimized, plus a variable (the Lagrange multiplier) multiplied by the constraint.

Lagrange Multiplier

A technique used in constrained optimization problems to find the maximum or minimum of a function subject to constraints.