Suppose you have a random sample of 500 individuals working in Canada, including data on hourly wages, years of education, and whether or not they were born in Canada. You estimate the model y = Bo + B1x + 8,D + 8,D * x+u. y refers to the hourly wage measured in dollars. x refers to years of education. Dis a dummy variable, where D=0 refers to people born in Canada and D=1 refers to people born outside of Canada. D*x is an interaction term (D multiplied by x) Suppose the fitted model is ŷ = 4 + 2.60x – 2D – 0.25D + x. If the standard error on the interaction term is 0.5, what would you conclude about whether or not immigrants have a different return to education than non-immigrants? I would reject the null that & = 0 I would fail to reject the null that &, = 0 I would conclude that there is no statistically significant difference in the return to education for immigrants and non-immigrants. I. II. II. I only. Il and III only. III only. OIl only. I and III only.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Suppose you have a random sample of 500 individuals working in Canada, including data on
hourly wages, years of education, and whether or not they were born in Canada. You estimate
the model y = B, + B,x + 8,D + 8,D * x + u. y refers to the hourly wage measured in
dollars. x refers to years of education. Dis a dummy variable, where D=0 refers to people born
in Canada and D=1 refers to people born outside of Canada. D*x is an interaction term (D
multiplied by x)
Suppose the fitted model is ŷ = 4 + 2.60x – 2D – 0.25D + x.
If the standard error on the interaction term is 0.5, what would you conclude about whether or
not immigrants have a different return to education than non-immigrants?
I would reject the null that đ, = 0
I would fail to reject the null that &, = 0
I would conclude that there is no statistically significant difference in the return to
education for immigrants and non-immigrants.
I.
I.
II.
I only.
) Il and III only.
III only.
OIl only.
and III only.
Transcribed Image Text:Suppose you have a random sample of 500 individuals working in Canada, including data on hourly wages, years of education, and whether or not they were born in Canada. You estimate the model y = B, + B,x + 8,D + 8,D * x + u. y refers to the hourly wage measured in dollars. x refers to years of education. Dis a dummy variable, where D=0 refers to people born in Canada and D=1 refers to people born outside of Canada. D*x is an interaction term (D multiplied by x) Suppose the fitted model is ŷ = 4 + 2.60x – 2D – 0.25D + x. If the standard error on the interaction term is 0.5, what would you conclude about whether or not immigrants have a different return to education than non-immigrants? I would reject the null that đ, = 0 I would fail to reject the null that &, = 0 I would conclude that there is no statistically significant difference in the return to education for immigrants and non-immigrants. I. I. II. I only. ) Il and III only. III only. OIl only. and III only.
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