A Simple Random Sample of 100 of a Certain Popular

Multiple Choice

A simple random sample of 100 of a certain popular model car in 2003 found that 20 had a certain minor defect in the brakes.A simple random sample of 400 of this model car in 2004 found that 50 had the minor defect in the brakes.Let p₁ and p₂ be the proportion of all cars of this model in 2003 and 2004,respectively,that actually have the defect.What is a 90% confidence interval for p₁ - p₂?

A) 0.075 ± 0.071
B) 0.075 ± 0.085
C) 0.075 ± 0.112
D) 0.079 ± 0.071