A teacher has two large containers filled with blue, red, and green beads. He wants his students to estimate the difference in the proportion of red beads in each container. Each student shakes the first container, randomly 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 sampled 13 red beads from the first container and 16 red beads from the second container. Assuming the conditions for inference are met, what is the 95% confidence interval for the difference in proportions of red beads in each container? Find the z-table here.

(0.26 minus 0.32) plus-or-minus 1.96 StartRoot StartFraction 0.26 (1 minus 0.26) Over 50 EndFraction + StartFraction 0.32 (1 minus 0.32) Over 50 EndFraction EndRoot
(0.26 minus 0.32) plus-or-minus 1.65 StartRoot StartFraction 0.26 (1 minus 0.26) Over 50 EndFraction + StartFraction 0.32 (1 minus 0.32) Over 50 EndFraction EndRoot
(0.74 minus 0.68) plus-or-minus 1.96 StartRoot StartFraction 0.74 (1 minus 0.74) Over 50 EndFraction + StartFraction 0.68 (1 minus 0.68) Over 50 EndFraction EndRoot
(0.74 minus 0.68) plus-or-minus 1.65 StartRoot StartFraction 0.74 (1 minus 0.74) Over 50 EndFraction + StartFraction 0.68 (1 minus 0.68) Over 50 EndFraction EndRoot

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