Question 48 of 50 • EHS Content Recovery - Probability and Statistics - Part D
A computer company wants to determine if there is a difference in the proportion of defective computer chips in a day’s production from two different production plants, A and B. A quality control specialist takes a random sample of 100 chips from the first hour of production from plant A and determines that there are 12 defective chips. The specialist then takes a random sample of 100 chips from the last hour of production from plant B and determines that there are 10 defective chips. Assuming conditions for inference are met, what is the 90% confidence interval for the true difference in proportions of defective chips from a day’s production between the two plants? Find the z-table here.
Answer
A
(0.12 minus 0.10) plus-or-minus 1.96 StartRoot StartFraction 0.12 (1 minus 0.12) Over 100 EndFraction + StartFraction 0.10 (1 minus 0.10) Over 100 EndFraction EndRoot
B
(0.12 minus 0.10) plus-or-minus 1.65 StartRoot StartFraction 0.12 (1 minus 0.12) Over 100 EndFraction + StartFraction 0.10 (1 minus 0.10) Over 100 EndFraction EndRoot
C
(0.88 minus 0.90) plus-or-minus 1.96 StartRoot StartFraction 0.88 (1 minus 0.88) Over 100 EndFraction + StartFraction 0.90 (1 minus 0.90) Over 100 EndFraction EndRoot
D
(0.88 minus 0.90) plus-or-minus 1.65 StartRoot StartFraction 0.88 (1 minus 0.88) Over 100 EndFraction + StartFraction 0.90 (1 minus 0.90) Over 100 EndFraction EndRoot