How to change voice that activates Siri on iPhone 6s

chip ~ To trigger the "Hey Siri" recognition and setup process again, try this:

Settings > Siri & Search > Listen for "Hey Siri" = Off.

Wait a few seconds.

Listen for "Hey Siri" = On.

...That should prompt the Set Up "Hey Siri" screen.

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Not sure what you mean, the voice that Siri uses?

There is no voice recognition in Siri.