From the text, the evidence that supports the claim that a flying saucer flew over O'Hare International Airport is:
The piece of evidence that can be considered the strongest is the call from an airline supervisor who saw the same phenomenon and called the FAA to confirm the same.
A piece of evidence is a verifiable fact that supports a claim. In the text, we can see that the airline employees made a claim about seeing a flying saucer at the O'Hare International Airport. However, they were unable to confirm their claim with verifiable proof.
Perhaps, the most convincing of the pieces of evidence might be that of the airline supervisor who checked with the FAA to ascertain whether they saw the same phenomenon. Since he is a more experienced person, his claim can be considered the strongest when compared to those of the employees.
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