Making a bit of a mess of my stats homework, so if someone could check I've got this question right then that would be great
In a local driving test centre the probability of passing your driving test for the first time is 54%. Mike claims that his driving school is better than this. He records the first time pass rate for 50 randomly selected learners he teaches.
1) At a 5% significance level, state your hypothesis clearly and find the critical region.
2) If 31 of Mike's students pass, state the conclusion Stan should make.
So for 1) The null hypothesis (or H0)=0.54
H1 > 0.54
By using the level of significance, the critical value is 34, and therefore the critical region would be >34
2) Hence, since 31 is not within the critical region, you accept the null hypothesis.
Funnily enough now I've written it out this seems to make a lot more sense, but just in case I'm entirely on the wrong track it would be great if someone could confirm this is right