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Cumulative Exam — Cumulative exam

Question 12 • SC-Statistical Modeling

A computer company wants to determine the proportion of defective computer chips from a day’s production. A quality control specialist takes a sample of 100 chips from the first hour of production and determines that there are 12 defective chips. He wants to construct a 90% confidence interval for the true proportion of defective chips from a day’s production. Are the conditions for inference met?

Answer
A
Yes, the conditions for inference are met.
B
No, the 10% condition is not met.
C
No, the randomness condition is not met.
D
No, the Large Counts Condition is not met.

Explanation

The sample comes only from the first hour of production, so it is not described as a random sample from the entire day’s production. This may not represent chips made later in the day, so the randomness condition is not met. The Large Counts Condition is met because there are 12 defective chips and 88 nondefective chips, both at least 10.

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