A class did an experiment to see if students could taste water and identify bottled water versus tap water. Each student was presented with three cups of water—one of which contained bottled water—and they were directed to identify which cup they thought contained bottled water. The class wants to test if they correctly identified the bottled water significantly better than they would have done by simply guessing.
Let p represent the proportion of these students that would correctly identify the bottled water.
Which of the following is an appropriate set of hypotheses for their significance test?

ANSWER:
H0​:p=1/3
Ha​:p>1/3