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

Here is Why You Need An Adapter

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

American Samoa

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

Type A

Type B

Type F

Type I

Saudi Arabia

In Saudi Arabia, outlets of type G are in use.

Type G