Statement:
The level of criminal activities is lower in Puerto Rico than in The Bahamas

In the The Most Criminal Countries rating Puerto Rico holds position #21 2022 out of 139 and The Bahamas is #20 out of 139 2022.
Position of Puerto Rico is better than position of The Bahamas.
The Bahamas is leader of the "The Most Criminal Countries" rating. So it is wise to avoid visiting the country or, at least, you need to take additional actions to protect your life and belongings, compared to Puerto Rico

Referencies:

  1. The Most Criminal Countries 2022 by Numbeo
    The countries in the rating sorted by 'Crime Index' in descending order.
    The Bahamas 'Crime Index' value is 62.91
    Puerto Rico 'Crime Index' value is 61.77