Strayer advertises itself as accreditated...however this is just for regional accreditation, and not for program accreditation.
Regional accreditation simply means a college has systems in place to educate students, and is not simply letting people pay for degrees.
However "real colleges" also have program accreditation, which means the actual coursework has been reviewed and given a seal of approval, so to speak.
Fans of Strayer University love to say that Ivy League Colleges have the same accreditation as Strayer. This is true only for the regional accreditation. If your major does not have any program accreditation, it is VERY unlikely that your courses will transfer to a major university.
I personally took classes at Strayer, which was a serious mistake. The classes were of such substandard quality, it was horrifying that anyone would consider this as a real education. The textbooks were of a grade-school reading level, and there were never any tests or exams. These classes do not prepare anyone for their careers, or any future education for that matter.
To add insult to injury, a typical two-year degree at Strayer adds up to over $20,000! Some top tier state colleges do not add up to $20,000 for a four year degree, and that includes room and board.
Remember, colleges like Strayer and Phoenix are "for profit" universities, so it is in their best interest to not be selective, and not have challenging materials, as it would erode their bottom line.