3
QuizMultiple Choice
Introduction to Hypothesis Testing
Question 3 • CA-Statistics and Probability B
A computer company wants to determine if the proportion of defective computer chips from a day’s production is more than 10%. A quality control specialist randomly selects 200 chips from a day’s production and finds that 30 chips are defective. The P-value for the test of the hypotheses, and , is 0.009. What is the correct interpretation of this value?
Answer
A
There is a 0.9% chance that the true proportion is 0.10.B
There is a 0.9% chance of getting a sample proportion of 0.15 or greater by chance alone if 0.10 is the true proportion.C
Assuming 0.10 is the true proportion of defective computer chips, this sample proportion, 0.15, can be expected by chance 0.9% of the time.D
Assuming the sample proportion of defective computer chips is 0.15 or more, there is a 0.9% chance that the true proportion of defective computer chips is 0.10.