Testing a Claim about a Difference between Proportions
Question 9 • CA-Statistics and Probability B
A teacher has two large containers filled with blue, red, and green beads, and claims the proportion of red beads is the same for both containers. 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 is the correct standardized test statistic and P-value for the hypotheses, Find the z-table here.
Answer
A
z = StartStartFraction 0.20 minus 0.32 OverOver StartRoot StartFraction (0.26) (0.74) Over 100 EndFraction EndRoot EndEndFraction, p-value = 0.0855
B
z = StartStartFraction 0.20 minus 0.32 OverOver StartRoot StartFraction (0.20) (0.80) Over 50 EndFraction EndRoot StartFraction (0.32)(0.68) Over 50 EndFraction EndEndFraction, p-value = 0.171
C
z = StartStartFraction 0.20 minus 0.32 OverOver StartRoot StartFraction (0.26) (0.74) Over 50 EndFraction EndRoot StartFraction (0.26)(0.74) Over 50 EndFraction EndEndFraction, p-value = 0.171
D
z = StartStartFraction 0.20 minus 0.32 OverOver StartRoot StartFraction (0.26) (0.74) Over 50 EndFraction EndRoot StartFraction (0.26)(0.74) Over 50 EndFraction EndEndFraction, p-value = 0.0.855