Consider the following TSLS model, where Ability is an endogenous independent variable, while Educ and Age are exogenous. Stage 1 : Ability = 0 + 1  Educ + 2  Age + 3  Expr + 4  ParEduc + 5  KWW + V Stage 2 : log(Wage) = 0 + 1  Educ + 2  Age + 2  Ability + U If we use the Sargan test, the rst-stage F test and the Hausman test together to decide whether a TSLS or an OLS would be more appropriate, ll in the following blanks:  at the 5% signi cance level, the critical value for the Sargan test is blank, and the critical value for the Hausman test is blank;  if we blank (reject or fail to reject) the Sargan test, blank (reject or fail to reject) the rst-stage F test, and blank (reject or fail to reject) the Hausman test, then it is implied that we shall use the TSLS instead of the OLS estimation

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider the following TSLS model, where Ability is an endogenous independent variable, while Educ
and Age are exogenous.
Stage 1 : Ability = 0 + 1  Educ + 2  Age + 3  Expr + 4  ParEduc + 5  KWW + V
Stage 2 : log(Wage) = 0 + 1  Educ + 2  Age + 2  Ability + U
If we use the Sargan test, the rst-stage F test and the Hausman test together to decide whether a
TSLS or an OLS would be more appropriate, ll in the following blanks:
 at the 5% signi cance level, the critical value for the Sargan test is blank, and the critical value for
the Hausman test is blank;
 if we blank (reject or fail to reject) the Sargan test, blank (reject or fail to reject) the rst-stage
F test, and blank (reject or fail to reject) the Hausman test, then it is implied that we shall use the
TSLS instead of the OLS estimation.

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