You Do Need power plug adapter while traveling from Ecuador to American Samoa.

Here is Why You Need An Adapter

The outlet and plug type used in American Samoa are A, B, F and I and in Ecuador are A and B. This is how they look like.

Ecuador

In Ecuador, outlets of type A and B are in use.

Type A

Type B

American Samoa

In American Samoa, outlets of type A, B, F and I are in use.

Type A

Type B

Type F

Type I