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 belleve 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 contaner. Let p_1=the true proportion of red beads in container 1 and p_2=the true proportion of red beads in container 2 . Which of the following are the correct hypotheses to test the students' claim?
H_0 \cdot p_1-p_2=0 ; H_1 p_1-p_2>0
H_0 \cdot p_1-p_2=0 ; H_2 ; p_1-p_2<0
H_0 p_1-p_2=0 ; H_2, p_1-p_2 \neq 0$
$H_0 \cdot p_1-p_2=0 ; H_0: p_1-p_2=0$