Yes, you also need to have Level 1 Smithing, i.e. to mine successfully about 10 times first. That's a good point! (You're one of the few people who has seen the (to me, hilarious) 'fail' dialogue, then.)
There are going to be dialogue 'skill checks' like that throughout the full game--there's never any penalty for failing, and you can always try again later. There's only the one in the demo, so it kind of stands out.