Question

In a sample of 150 cars, 18 cars failed a safety inspection. The sampling method had a margin of error of 0.02.

Answer 1

Answer:

(0.10,0.14)

Step-by-step explanation:

-Given the sample size is 150 and our proportion is 18.

-We first determine the proportion's probability:

$\hat p=\frac{x}{n}\\\\=\frac{18}{150}\\\\=0.12$

-The interval estimate for the proportion is then calculated using the formula:

$CI=\hat p\pm MOE\\\\=0.12\pm 0.02\\\\=[0.10,0.14]$

Hence, the interval estimate is for the proportion (0.10,0.14)