A hotel chain is interested to decide whether to convert more of its rooms to family rooms. In a random sample of 500 guests in 1998, 266 had requested family rooms. In 1999, 305 guests in a random sample of 480 preferred the family room. As the hotel manager, you need to recommend whether the hotel chain should convert more rooms to family rooms. Support your recommendation by testing the appropriate hypothesis test at a = 0.05.