Suppose you are interested in studying the effect of education on wages (controlling for IQ and parental income): wage, Bo + Breduc, +B1Q, +BParInc, +e, where weekly wages are measured in dollars, IQ is measured in points, education is measured in years, and average parental income is measured in tens of thousands of dollars. You want to test if the effect of IQ on wage is double that of schooling. a) What are your null and alternative hypotheses? b) Write down the restricted model.

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter19: Earnings And Discrimination
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Suppose you are interested in studying the effect of education on wages (controlling for IQ and parental
income):
wage, Bo + Bieduc, + BIQ +BParInc, +e,
where weekly wages are measured in dollars, IQ is measured in points, education is measured in years, and
average parental income is measured in tens of thousands of dollars.
You want to test if the effect of IQ on wage is double that of schooling.
1
a) What are your null and alternative hypotheses?
b) Write down the restricted model.
c) Suppose that RGR =0.800, R = 0.550, and n =
significance level.
100. Conduct and interpret an F-test at the a = 0.01
%3D
Transcribed Image Text:Suppose you are interested in studying the effect of education on wages (controlling for IQ and parental income): wage, Bo + Bieduc, + BIQ +BParInc, +e, where weekly wages are measured in dollars, IQ is measured in points, education is measured in years, and average parental income is measured in tens of thousands of dollars. You want to test if the effect of IQ on wage is double that of schooling. 1 a) What are your null and alternative hypotheses? b) Write down the restricted model. c) Suppose that RGR =0.800, R = 0.550, and n = significance level. 100. Conduct and interpret an F-test at the a = 0.01 %3D
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