A coffee shop is having a promotion deal where customers have to buy a cup of coffee and then roll up the cup's rim to reveal whether they've won a prize. Prizes include a free coffee, doughnuts or a car. Suppose the coffee shop claims that 1 in 6 cups are winners, so you decide to test this claim. Suppose you take a random sample of 70 cups of coffee, and win 11 doughnuts and lost all other times.

a. Identify the population of interest in the context of the question.

b. State the null and alternative hypotheses in the context of the question in words.

c. Determine/compute any conditions that must be valid to carry out the test in the context of the question.