When people are presented with information and they are naturally analytical or the information is highly involving, they are likely to be persuaded via the route to persuasion. When people are not engaged with the information, or they tend to make snap judgments, they are more likely to be persuaded via the route.'

central; peripheral.

Explanation:

Central route to persuasion: In psychology, the term "central route to persuasion" is defined as a process in which an individual is being persuaded by the "content" of a specific message.

Peripheral route to persuasion: In psychology, the term "peripheral route to persuasion" is described as a process in which an individual is being persuaded by something else except the "content" of the message.

In the question above, the given statement represents the central and the peripheral route to persuasion.

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