Answer:
(Lower limit, Upper limit) = (0.10, 0.14)
(Lower limit, Upper limit) = (10%, 14%)
Step-by-step explanation:
Total number of cars = 150
Cars that failed the safety inspection = 18
The proportion is given by
p = 18/150
p = 0.12
p = 12%
The confidence interval is given by
p ± margin of error
Where margin of error is 0.02
0.12 ± 0.02
Lower limit = 0.12 - 0.02
Lower limit = 0.10
Lower limit = 10%
Upper limit = 0.12 + 0.02
Upper limit = 0.14
Upper limit = 14%
(Lower limit, Upper limit) = (0.10, 0.14)
(Lower limit, Upper limit) = (10%, 14%)
