In this statement of the problem, the population standard deviation is not known and the claim is stated using a ≤ symbol. Pay close attention to how the alternative hypothesis is formed - a common point of confusion is that the alternative hypothesis is always the opposite of the claim but this is not the case. Rather, the alternative hypothesis is either the same as the claim or the opposite of the claim - it depends on how the claim is stated.
Here I show how a small change in the wording of the original claim makes a big difference in the form of the alternative hypothesis, which in turn alters the wording of the final conclusion.
