An inspector checked a sample of $330$ scales selected at random from…

Question

Prompt

An inspector checked a sample of

330

scales selected at random from a population of

8, 000

scales to estimate what percentage of the

8, 000

scales were inaccurate. From this sample, the inspector estimated that

7%

of the

8, 000

scales were inaccurate, with an associated margin of error of

2.8%

. Which of the following is the most appropriate conclusion?

It is plausible that between

336

and

784

of the scales in the population are inaccurate.

It is plausible that fewer than

336

of the scales in the population are inaccurate.

Exactly

560

of the scales in the population are inaccurate.

It is plausible that more than

784

of the scales in the population are inaccurate.