A rectangular conducting strip of width \(w\) lies in the \(xy\)-plane with its length parallel to the \(x\)-axis. A steady electric current \(I\) is directed in the \(+x\)-direction through the strip in the presence of a uniform magnetic field \(\vec{B}\) directed in the \(-z\)-direction (into the page). A steady-state Hall potential difference is established across the strip such that the electric potential at the top edge (\(y = +w/2\)) is lower than the electric potential at the bottom edge (\(y = -w/2\)). Which of the following correctly identifies the sign of the mobile charge carriers and the direction of the internal Hall electric field \(\vec{E}\)?