When the Americans with Disabilities Act (ADA) was first passed in 1990, the internet had yet to take off. However, the ADA has realized the importance of including online spaces within its parameters. If your business is considered a ‘place of public accommodation,’ then your website must be ADA compliant. Multiple rulings from judges have set legal precedent that websites must be accessible and are at risk of heavy fines and penalties when they are found not compliant. Winn-Dixie is the latest business to learn this the hard way.
I should mention one caveat to all of this. Businesses that are required to comply but don't have the ability to bring their websites into compliance can provide an accessible alternative to provide the same information, goods, and services that they provide online, like a staffed phone line. The trick, however, is that this option has to provide at least equal access, including in terms of hours of operation. And, as we know, the internet is around 24/7, so good luck with that.