You Do Need power plug adapter while traveling from Equatorial Guinea to New Zealand.

Here is Why You Need An Adapter

The outlet and plug type used in New Zealand is I and in Equatorial Guinea are C and E. This is how they look like.

In Equatorial Guinea, outlets of type C and E are in use.

Type C

Type E

In New Zealand, outlets of type I are in use.

Type I

I am from

going to