Direction of electric field

1. The problem statement, all variables and given/known data

In a circular region in the plane of paper, a magnetic field is directed out of the page and decreasing. What is the direction of the electric field at a point to the right of the region?

2. Relevant equations

Lenz’s law

3. The attempt at a solution

Since the magnetic field is decreasing, Lenz’s Law states the induced magnetic field will oppose this change, so the induced magnetic field will also point out of the page. So to the right of this region, the right hand rule says that the electric field should point towards the top of the page, but the answer in my key is to the bottom. Am I wrong?

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