Legislator: The recently released crime statistics clearly show that the new laws requiring stiffer punishments for violators have reduced the crime rate.
Conclusion
The statistics don't provide strong evidence that the new laws caused the drop in crime.
Evidence
Many comparable areas where they don't have the new laws also have a drop in crime.
Evaluate
The analyst responds with a classic Effect, No Cause weakener. These undermine the plausibility of someone's causal story by showing that the effect is occurring even when the supposed causal difference-maker is absent. It suggests that there must be some alternate explanation, although it gives no guidance as to what that alternate explanation is.
It leaves us thinking,
Goal
We would expect the answer to probably use the language we use with Causal Arguments – the analyst is suggesting there must be an alternative explanation for the phenomenon by showing that the phenomenon is occurring even in the absence of the causal factor that the legislator is claiming is making the difference.