You Do Need power plug adapter while traveling from São Tomé and Príncipe to Samoa.

Here is Why You Need An Adapter

The outlet and plug type used in Samoa is I and in São Tomé and Príncipe are C and F. This is how they look like.

São Tomé and Príncipe

In São Tomé and Príncipe, outlets of type C and F are in use.

Type C

Type F

Samoa

In Samoa, outlets of type I are in use.

Type I