A teacher has two large containers, cap A and cap b , filled with blue, red, and green beads. She wants her students to estimate the difference open paren cap A minus cap b close paren in the proportion of red beads in each container. What is the appropriate inference procedure?
Answer
A
Two-sample t -test for mu sub cap A minus mu sub cap b
B
Two-sample t -interval for mu sub cap A minus mu sub cap b
C
Two-sample z - interval for p sub cap A minus p sub cap b
D
Two-sample z - test for p sub cap A minus p sub cap b
Explanation
The quantity of interest is the difference in the proportions of red beads in containers A and B, so use a procedure for two population proportions, not a t-procedure for means. The teacher wants to estimate the difference rather than test a claim, so the appropriate procedure is a two-sample z-interval for p_A − p_B. That is choice C.
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