Answered: A teacher has two large containers…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CT: Chapter Test

Problem 4CT: Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books...

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A teacher has two large containers filled with blue, red, and green beads, and claims the proportion of red beads are the same in each container. The students believe the proportions are different. 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 contain 13 red beads from the first container and 16 red beads from the second container. Let p₁= the true proportion of red beads in container 1 and p₂= the true proportion of red beads in container 2. The P-value for this significance test is 0.171. Which of the following is the correct conclusion for this test of the hypotheses level?

The student should reject the null hypothesis since 0.171 > 0.05. There is insufficient evidence that the true proportion of red beads is significantly different between the two containers.

The student should fail to reject the null hypothesis since 0.171 > 0.05. There is insufficient evidence that the true proportion of red beads is significantly different between the two containers.

The student should reject the null hypothesis since . There is convincing evidence that the true proportion of red beads in container 1 is significantly different from the true proportion of red beads in container 2.

The student should fail to reject the null hypothesis since . There is not convincing evidence that the true proportion of red beads in container 1 is significantly different from the true proportion of red beads in container 2.

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