What type of nursing program would allow a student with a 4-year degree in psychology to enter and complete a baccalaureate degree in nursing, take the NCLEX examination, and transition into a Master of Science in nursing (MSN) program?

The right approach will be the "Graduate entry program (GEP)".

Explanation:

GEP techniques are frequently have been using outside of the U.S. to draw attention to healthcare programs typically lasting four years during which candidates are skilled professionals who've already expected to take entrance exams including such UKCAT, GAMSAT, or MCAT.Graduates would maintain the requisite competencies including guidelines established by the BCCNP to qualify as either a nursing assistant.

Nine months old i think but i’m not that sure