10
QuizMultiple Choice
Testing a Claim about a Difference between Proportions
Question 10 • 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 80 chips from production at plant A and determines that there are 12 defective chips. The specialist then takes a random sample of 90 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 = the true proportion of defective chips from plant B. The P- value for this significance test is 0.225. Which of the following is the correct conclusion for this test of the hypotheses
Answer
A
The owner should reject the null hypothesis since 0.225 > 0.05. There is sufficient evidence that the proportion of defective computer chips is significantly greater at plant A.B
The owner should reject the null hypothesis since 0.225 > 0.05. There is insufficient evidence that the proportion of defective computer chips is significantly greater at plant A.C
The owner should fail to reject the null hypothesis since 0.225 > 0.05. There is sufficient evidence that the proportion of defective computer chips is significantly greater at plant A.D
The owner should fail to reject the null hypothesis since 0.225 > 0.05. There is insufficient evidence that the proportion of defective computer chips is significantly greater at plant A.