Question: Why can we estimate the average treatment effect by the propensity score with random assignment? ATE= E[YD/p- Y(1-D)/1-P] ; p= P (D=1)

Why can we estimate the average treatment effect by the propensity score with random assignment? ATE= E[YD/p- Y(1-D)/1-P] ; p= P (D=1)

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