Question

Question 3 Type numbers in the boxes. 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 10 points same weight. But if more than 18% 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 153 bags and finds that 37 of them are over-filled. He plans to test the hypotheses Ho: P = 0.18 versus Ha:p > 0.18. What is the test statistic? z = (Please round your answer to two decimal places if necessary.)

Answer 1

$\hat p$ = x / n = 37/153=0.242

P₀ = 0.18

1 - P₀ = 1 - 0.18=0.82

Test statistic = z

= $\hat p$ - P₀ / [$\sqrt$P_{0 *} (1 - P₀ ) / n]

=0.242- 0.18 / [$\sqrt$(0.18*0.82) /153 ] 0.03106

= 1.99