8
QuizMultiple Choice
Sampling Distributions – Center and Variability
Question 8 • NC-Math 4
A statistics teacher has a large container of beads that she says contains 60% blue beads. A student randomly selects 50 beads, and 25 of them were blue. Let p = the true proportion of blue beads in the container. Under the assumption that the true proportion is 0.60, the student generated 200 values of .Is there evidence that the true proportion of blue beads in the container is less than 0.60?
Answer
A
Yes, a proportion of 0.5 proves that the true proportion of blue beads in the container is less than 0.6.B
Yes, a proportion of 0.5 only occurred 5 times out of 200 simulated proportions; therefore, there is sufficient evidence that the true proportion of blue beads in the container is less than 0.6.C
No, a proportion of 0.5 is only 0.1 less than a proportion of 0.6; therefore, there is insufficient evidence that the true proportion of blue beads in the container is less than 0.6.D
No, a proportion of 0.5 or less occurred 16 times out of 200 simulated proportions; therefore, there is insufficient evidence that the true proportion of blue beads in the container is less than 0.6.