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A quality control engineer at a potato chip company tests the bag filling machine by weighing Type numbers in the boxe bags of potato chips.

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A quality control engineer at a potato chip company tests the bag filling machine by weighing Type numbers in the boxe bags of potato chips. Not every bag contains exactly the same weight. But if more than 18% of 10 points bags are over-filled then they stop production to fix the machine. They define over-filled to be more than 1 ounce above the weight on the package. The engineer weighs 178 bags and finds that 47 of them are over-filled. He plans to test the hypotheses Ho: p = 0.18 versus H.: p > 0.18. What is the test statistic? Z= (Please round your answer to two decimal places if necessary.)

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