Question: 3. A classmate has developed an IV regression model with one regressor , and two instruments, 1 and 2 . She has a strong theoretical

3. A classmate has developed an IV regression model with one regressor , and two instruments, 1 and 2 . She has a strong theoretical basis as to why (1, ) = 0, namely that 1 is the result of a random lottery. Preliminary work, however, showed that the first-stage F-statistic from this exactly identified model was insufficiently large for 1 to be considered a relevant instrument set by itself. As a result she includes an additional instrument, 2 , which is strongly relevant but is less likely to satisfy the condition of instrument exogeneity. In the instrumental variable regression model with one regressor, , and two instruments, 1 and 2, the value of the J-statistic is J=7.5. i. Does this suggest that (|1, 2) 0? Explain. ii. Does this suggest that (|2) 0? Explain

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