In: Statistics and Probability
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 16% 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 201 bags and finds that 66 of them are over-filled. He plans to test the hypotheses H0: p = 0.16 versus Ha: p > 0.16. What is the test statistic?
z =
(Please round your answer to two decimal places if necessary.)
Thanks!
We have for given example,
Population proportion value is =0.16
x=66
n=201
Estimate for sample proportion =0.3284
Z test statistic formula for proportion
=6.51