postgresql selecting entries that appear more than 4 times

Question

I have 2 tables, one contains people and another contains enrolments with a reference to the people id's, I have to create a view where only results that appear in the enrolments more than 4 times are included. I'm okay with making the view and getting the columns I need but the syntax is so confusing and the course I'm doing is very unclear. I think I need to use count() but I can't get it to count what I need it to. How do you output a table that only includes the people that appear in the enrollment table more than 4 times? Sorry if the question is a bit bad I'm extremely sleep deprived and confused.

edit: here are some example tables and what I tried to do-

enrolment table relevant info:

id	student
462583	1010093
464457	1010093
469823	1010093
471345	1010093
473239	1010093
475371	1010093
477419	1010093
479797	1010093
572312	1010138
577147	1010138
578866	1010138
580596	1010138
582497	1010138

so students 1010093 and 1010138 would fit the criteria because they appear more than 4 times, but there are many entries that do not appear more than 4 times.

people table relevant info:

(id is the id that enrolment refers to in student column).

id	uniid	name
10000019	8758024	Emery Schubert
10000021	9808692	Ann Moore
10000025	9833783	Zhen-Tian Chang
10000026	7610575	John Carrick
10000035	9837669	Pamela Mort
10000037	9049091	Sami Korell
10000049	9869271	Mengistu Amberber
10000051	9375982	Colin Fong
10000053	9146607	Dianne Montgomerie
10000073	9804805	Grant Walter
1010093	2220747	Barbara Fremder
1010138	2240781	Say-Kit Ezergailis
1011114	2119574	Evangelos McDonald
1011293	2291530	Grace Hoekstra
1011474	2261154	Chee Jairaj

my attempt was this:

create or replace view Q1(uniid,name) as
select people.uniid, people.name
from people left outer join enrolments on (people.id = enrolments.student)
group by people.uniid, people.name having count(enrolments.student) > 4;

here's a sample of the output:

uniid	name
3100280	Mia Wiech
3225571	Cora Prochaska
3335780	Vinh Ha
3255146	Moyang Liu Hongtao
3365147	Frances Ellers
3327487	Keerati Meechowna
3397549	Shane Dinham
3372084	Benjamin Tenenbaum
3252837	Kayserline McFarlane
3350110	Jose Varas
3258061	Alison Lettich
3345581	Snehal Sethu

This was the expected output in full:

uniid	name
3001394	Jeffrey Caldwell
3087372	Philip Lun
3108948	Sugianto Arsie
3122927	Seaton Warburton
3132303	Amy Berg
3134147	Hannah Kola
3160479	Ksenia Mardakhaeva
3163349	Kerry Plant
3173796	Adam Rositano
3187169	Giles Erol
3207313	Livio Tjia
3209530	Su Song
3229297	Yoke Anthoney
3245227	Pollyanna Risk
3272803	Jesus Ferrer
3294743	Deviani Hongganata