A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every bag contains exactly the same weight. But if more than 15% of 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 144 bags and finds that 47 of them are over-filled. He plans to test the hypotheses H0: p = 0.15 versus Ha: p > 0.15. What is the test statistic?

z =

(Please round your answer to two decimal places if necessary.)