A teacher has two large containers filled with blue, red, and green beads, and claims the proportion of red beads is 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 contained 10 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. Which of the following are the correct hypotheses to test the students' claim? O H,: P, - P2 = 0; H;i P1 - P2 >0 O Hoi P1-P2 = 0; H,i P1-P2<0 O H,: P1-P2= 0; H,' P1 - P2=0 O Hoi P1-P2 * 0; Hoi P1-P2 =0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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A teacher has two large containers filled with blue, red, and green beads, and claims the proportion of red beads is 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 contained 10 red beads from the first container and 16 red beads from the second container. Let p= the true proportion of red beads in container 1 and pthe true proportion of red beads in container 2. Which of the following are the correct hypotheses to test the students’ claim?

A teacher has two large containers filled with blue, red, and green beads, and claims the proportion of red beads is
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 contained 10 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. Which of the following are the correct hypotheses to test the
students' claim?
O H,: P1 - P2 = 0; H;: P1 - P2 >0
O H,: P1-P2 = 0; H;i P1- P2<0
O H,: P1-P2= 0; H;: P1-P2 =0
O Ho: P1-P2 * 0; Hoi P1-P2 =0
Transcribed Image Text:A teacher has two large containers filled with blue, red, and green beads, and claims the proportion of red beads is 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 contained 10 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. Which of the following are the correct hypotheses to test the students' claim? O H,: P1 - P2 = 0; H;: P1 - P2 >0 O H,: P1-P2 = 0; H;i P1- P2<0 O H,: P1-P2= 0; H;: P1-P2 =0 O Ho: P1-P2 * 0; Hoi P1-P2 =0
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