a teacher has two large containers filled with blue, red, and green beads, and claims the proportions of red…

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 students 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 teachers claim justified? the teachers claim is not justified because the two sample proportions are different. the teachers claim is not justified because the interval contains both positive and negative values. the teachers claim is justified because the interval contains 0, meaning there is no difference in the proportions of beads in each container. the teachers 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.

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 students 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 teachers claim justified? the teachers claim is not justified because the two sample proportions are different. the teachers claim is not justified because the interval contains both positive and negative values. the teachers claim is justified because the interval contains 0, meaning there is no difference in the proportions of beads in each container. the teachers 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.

Answer

Brief Explanations:

A 95% confidence interval for the difference in proportions is given. If 0 is in the confidence - interval, we cannot reject the null hypothesis that the proportions are equal. Here, the 95% confidence interval (-0.24, 0.11) contains 0, which means there is no significant difference between the proportions of red beads in the two containers at the 95% confidence level.

Answer:

The teacher’s claim is justified because the interval contains 0, meaning there is no difference in the proportions of beads in each container.