As a matter of fact, did you know that the Small Business Administration says that 50% of small business owners will fail sometime during their first 5 years? There are lots of reasons but one big one is that owners don't have a plan. Another is they have picked a product or service that doesn't have a big enough market to sustain their business and sometime during their future they will run out of customers.
For an online business, a detailed and in depth business plan is usually not necessary unless you are trying to combine your online business with a traditional business. For most online business startups, the detail involved with planning a traditional business is not required. However, it would still be beneficial to you if most of the topics were still covered, even if only briefly. Having a written plan in front of you will help you to focus on important aspects of the business.