Testing a Claim about a Difference between Proportions
Question 6 • AQR_A_IC
The owner of a computer company claims that the proportion of defective computer chips produced at plant A is higher than the proportion of defective chips produced by plant B. A quality control specialist takes a random sample of 100 chips from production at plant A and determines that there are 12 defective chips. The specialist then takes a random sample of 100 chips from production at plant B and determines that there are 10 defective chips. Let pA = the true proportion of defective chips from plant A and pB = the true proportion of defective chips from plant B.Which of the following are the correct hypotheses to test the owner’s claim?
Answer
A
H 0: P A minus P B = 0; H alpha: P A minus P B not-equals 0
B
H 0: P A minus P B = 0; H alpha: P A minus P B greater-than 0
C
H 0: P A minus P B = 0; H alpha: P A minus P B less-than 0
D
H 0: P A minus P B greater-than 0; H alpha: P A minus P B less-than 0