I have the percentage of completed activities of a set of users that have used a concrete application. I have the number for each of them, for instance:
- Participant #1 --> 0.85
- Participant #2 --> 0.48
- Participant #23 --> 0.76
The intention to have recorded these results is to prove that they can complete their tasks with a level of completeness of at least 80%. For this, the null hypothesis that I formulated (and that I want to reject) is: H0 = σ = 0.8
And the alternative is: H1 = σ> 0.8
This sounds logic for me, but I was reading some papers and books and all the examples I found about small single-sample cases are contrasting two kinds of users, for instance, expert users against novice users in the same group.
What do you think? Can you point me some literature with an example like mine? (where you want to prove that all the sample participants can do somenthing in a percentage).
Thanks in advance,