Problem 2 (20pts): Some people who bought X-Game gaming systems complained about having received defective systems. The industry standard for such gaming systems has been 3% defective systems. In a sample of 50 units sold, 2 units were defective. a)XGa1'ne says the fact that sample defection rate is larger than the industry standard is due to small sample size. If we want the margin of error for the 90% condence interval to be smaller than 0.5% (0.001), how many samples do we need to collect? b) X-Game claims that the percentage of defective system produced by X-Game is less than the industry standard. Formulate the appropriate hypothesis and test the above claim using the rejection point approach