The risks of public schooling these days far outweigh the risks of home schooling. A good many children would be better off with no school at all in lieu of public school.
Some states don't require any proof the kids are learning.
In NH, homeschooled kids have to be tested annually by a certified teacher. We always did this, and preferred to, as we want to be sure we were keeping them up to speed.
They always tested above grade level, in most subjects, at least a year above grade level. When they went to public school at grade 7, they were bored.
The last couple of years they were probably the most tested kids around.
Our Assistant superintendent was grousing one day that he had a lot of tests, that he wanted to "test the test", but principals and teachers were fighting it as they were afraid of how poorly the kids would do.
He couldn't get through to them, that the idea was to "test the tests", no so much the kids. I told him we were paying $50 a year for each kid to he tested, we would be glad to do it for free.
So they were tested over and over, part of what they did was they critiqued the tests.
He got his feedback and we got our tests, everybody was happy.
BTW, both "kids" are doing very well. One is in charge of several offices and several scientific magazines in NYC, London, etc., the other a mom and cook, and due to this, homeschooling..