Question

2 After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage. They want to construct a 99% confidence interval for the true proportion of cars with damage from the storm. Are the conditions for inference met? O Yes, the conditions for inference are met No, the 10% condition is not met No, the randomness condition is not met No, the Large Counts Condition is not met. ​

Answer 1

Yes, the conditions for inference are met

Explanation:

Conditions for inference:

To build a confidence interval for a population proportion, the sample must have at least 10 successes and 10 failures.

In this question:

50 cars, 11 have damage and 50 - 11 = 39 do not.

Since both the number of sucesses and of failures is above 10, conditions for inference are met.