Question

A large hotel chain is trying to decide whether to convert more of its rooms to non-smoking rooms.
In a random sample of 400 guests last year, 166 had requested non-smoking rooms. This year, 205
guests in a sample of 380 preferred the non-smoking rooms. Would you recommend that the hotel
chain convert more rooms to non-smoking? Support your recommendation by testing the appropriate
hypotheses at a 0.01 level of significance.