is "<script type='text/javascript'>" incorrect?

On aminutewithbrendan, brendan eich makes an off hand comment implying that serving scripts as

<script type='text/javascript'></script>

is not correct because "text/javascript" is not a valid MIME type and he states "application/javascript" is a valid MIME type.

I only care about serving HTML5 as the doctype.

• Where are the MIME types for <script> defined in the html5 W3C specification ?
• What is browser support like for "text/javascript" and "application/javascript" ?
• Which should be used ? Alternatively should we just not set type at all?

Literal Quote from brendan: (1:48)

... or script type equals application/javascript or application/ecmascript, those are the official MIME types or either one of those made-up ones from HTML4 like text/javascript ...

Related:

• script with or without the type
• JavaScript MIME type
• Why set MIME type
• RF4329
• JavaScript MIME type

The union of the related resources doesn't really answer all three questions.