A teacher has two large containers filled with blue, red, and green beads, and claims the proportions of red beads are the same in each container. Each student shakes the first container, selects 50 beads, counts the number of red beads, and returns the beads to the container. The student repeats this process for the second container. One student’s samples contained 13 red beads from the first container and 16 red beads from the second container. Based on the 95% confidence interval, (–0.24, 0.11), is the teacher’s claim justified?

The teacher’s claim is not justified because the two sample proportions are different.
The teacher’s claim is not justified because the interval contains both positive and negative values.
The teacher’s claim is justified because the interval contains 0, meaning there is no difference in the proportions of beads in each container.
The teacher’s claim might not be justified because the interval contains both positive and negative values. It is plausible that the proportion of red beads in each container is different.