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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.

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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) X-Game 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 99% condence interval to be smaller than 0.1% (0.001), how many samples do we need to collect? tax-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 either p-value or rejection point)

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