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An economist believes that the wage difference between black females and nonblack males is $200 in favor of nonblack males (in other words, the economist

An economist believes that the wage difference between black females and nonblack males is $200 in favor of nonblack males (in other words, the economist believes that black females make $200 less than nonblack males). We want to perform a test on this claim. What is the rejection rule for this test?

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Wages, gender and race. You are interested in the relationship between wages, race and gender. You have the following econometric model: wage = Bo + B1 * female + B2 * black + u where the variable wage is the monthly wage in dollars, female is a gender dummy variable (equal to 1 for females and 0 otherwise), black is a race dummy variable equal to 1 for blacks and zero otherwise, and u is an error term. Using 4,137 observations, the following equation was estimated by OLS: wage = 1028.10 - 45.09 * female - 169.81 * black (6.29) (4.29) (12.71) where the numbers in parentheses (below the coefficients) are the standard errors

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