Question: The administrators of a large hospital installed new drink vending machines in the cafeteria and main entrance in addition to the ones in the waiting room. They want to know if flavor preference depends on location. A random sample of visitors was selected and interviewed. The results are shown in the table.

(A) What is the expected value for sales of juice in the waiting area? Show your work

(B) What is the probability that a randomly selected person from this group buys juice, given that they purchase a drink in the cafeteria?

(C) Write the null and alternate hypotheses for an analysis of this information.

(D) What assumptions and conditions are required in order to use a chi-squared test?

(E) Explain what you would tell the administrators regarding drink preference and location in this situation.