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A student was asked to prove the statement: "If \(n\) is an even integer, then \(n^2\) is divisible by \(4\)."
Below is the Student's Proof Attempt.
  1. Let \(n=4\).
  2. Then \(n^2=4^2=16\).
  3. Since \(16\) is divisible by \(4\), the statement is true.
Identify the errors in the student's reasoning and write a correct version.
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