Here is an excerpt from a article that I found that look like its a reputable site covering the topic of the h1 tag.
This is what they said about the h1 tag...
Headings carry a lot of weight with the search engines because they're for categorization, not cosmetics. You can control what each heading looks like consistently through your site using a CSS style sheet that specifies the font, size, color, and other attributes for each Heading tag. Here's an example of what various heading tags can look like:
<H1>This is a heading</H1>
<H2>This is subheading A</H2>
<H2>This is subheading B</H2>
<H3>This is a lower subheading</H3>
Search engines pay special attention to the words in your headings because they expect headings to include clues to the page’s main topics. You definitely want to include the page’s keywords inside Heading tags.
Is the above information true or false??
I really want to know.