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To Compare the Slope Coefficient from the California School Data  TestScr ^\widehat {\text { TestScr }}

Question 27

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To compare the slope coefficient from the California School data set with that of the Massachusetts School data set, you run the following two regressions:
 TestScr ^\widehat {\text { TestScr }} CA = 2.35 - 0.123×STRCA
(0.54)(0.027)
n = 420, R2 = 0.051, SER = 0.98
 TestScr ^\widehat {\text { TestScr }} MA = 1.97 - 0.114×STRMA
(0.57)(0.033)
n = 220, R2 = 0.067, SER = 0.97
Numbers in parenthesis are heteroskedasticity-robust standard errors, and the LHS variable has been standardized.
Calculate a t-statistic to test whether or not the two coefficients are the same. State the alternative hypothesis. Which level of significance did you choose?

Correct Answer:

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H0: ?1,CA = ?1,MA; H1: ?1,CA ? ?1,MA;t =
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