Desire to provide religious or moral instruction is at the TOP of the list of reasons people homeschool.
Here is the survey's remark on their estimation methodology:
"When applied to survey data, weights allow for the generation of national estimates from a sample of respondents. They also adjust for characteristics of the survey design, nonresponse, and noncoverage. However, biases may exist in the data if weighting procedures have not adequately adjusted for these issues. A large-scale bias study was conducted in conjunction with the 2007 data collection. Readers interested in the findings of the bias study, as well as detailed information on NHES survey methods, weighting, and response rates, can refer to the Data File User’s Manuals published online at http://nces.ed.gov/nhes ."
I'd expect a measure of homeschooling families to want nothing to do with the federal department of education.
edit: (actually... It wasn't a heavier focus on science & tech... it was just more intense in general... I had a hefty literature portion (I read many Dickens books...) and some sweet art history books)
The Khan and homeschool model, in contrast is the mastery model. Students are individually taught at their own pace. They are not graded and pushed on. Instead they keep learning a topic until they know it. In traditional classroom education, the learning is variable while the time to learn is constant. Khan makes the learning constant and varies the time. Some students will learn faster than others, but all students learn to a high standard.
Khan is not just delivering a better classroom. He is offering a wholly different model of education.
My issue with home schooling is the lack of variety and specialization. With only one teacher, the child just isn't going to be exposed to as many viewpoints as they would in a traditional school setting.
Homeschooling is still regulated by the state. Students must still pass certain tests, and often homeschoolers have a community of parents and children who get together to learn with each other at educational events geared specifically to their education. Both models have evolved, though they still have some cons. So, too, do public and private schools. Personally, I'd like to see us picking the best parts of various educational systems and putting them together.