What persuasive strategy is characterized by making a broad claim based on statistics?

The strategy characterized by making a broad claim based on statistics is known as generalization. This approach involves using specific data or statistical findings to draw broader conclusions about a group or phenomenon. For example, if a study shows that a certain percentage of a population behaves in a particular way, one might generalize that this behavior applies to the entire population.

Generalization relies on the assumption that the observed sample is representative of the whole, which highlights the importance of accuracy in the statistical evidence being used. A sound generalization can be a powerful tool in persuasion as it provides an appearance of credibility and supports the argument with numerical backing.

In contrast, appeal to emotion focuses on eliciting emotional reactions rather than relying on statistics or data. Sophistical formula refers to misleading or faulty reasoning that may seem valid but actually lacks a solid basis. Appeal to authority involves citing an authority figure to support an argument, which also doesn't hinge on statistical claims like generalization does. Overall, generalization stands out as the most fitting strategy in the context of using statistics to support broad claims.