Imagine a barrel filled with 10,000 marbles.

Six thousand of these marbles are red (P) and 4000 are white (Q).

Now imagine you drew 100 random samples from this barrel with each sample consisting of 100 marbles.

With these samples, you're interested in estimating the number of RED marbles in the parent population.

Identify the percentage values between which 99% of the samples would fall (in other words, calculate the 99% confidence interval.) Interpret the result in words.