TABLE 10-12
A quality control engineer is in charge of the manufacture of computer disks. Two different processes can be used to manufacture the disks. He suspects that the Kohler method produces a greater proportion of defects than the Russell method. He samples 150 of the Kohler and 200 of the Russell disks and finds that 27 and 18 of them, respectively, are defective. If Kohler is designated as "Group 1" and Russell is designated as "Group 2," perform the appropriate test at a level of significance of 0.01.
-Referring to Table 10-12, the hypotheses that should be tested are

Question

TABLE 10-12
A quality control engineer is in charge of the manufacture of computer disks. Two different processes can be used to manufacture the disks. He suspects that the Kohler method produces a greater proportion of defects than the Russell method. He samples 150 of the Kohler and 200 of the Russell disks and finds that 27 and 18 of them, respectively, are defective. If Kohler is designated as "Group 1" and Russell is designated as "Group 2," perform the appropriate test at a level of significance of 0.01.
-Referring to Table 10-12, the hypotheses that should be tested are
A) H₀: π₁ - π₂ = 0 versus H₁: π₁ - π₂ ≠ 0.
B) H₀: π₁ - π₂ ≠ 0 versus H₁: π₁ - π₂ = 0.
C) H₀: π₁ - π₂ ≤ 0 versus H₁: π₁ - π₂ > 0.
D) H₀: π₁ - π₂ ≥ 0 versus H₁: π₁ - π₂ < 0.

Quizplus · Accepted Answer

The engineer suspects that the Kohler method produces a greater proportion of defects, so the alternative hypothesis should be that the proportion of defects in Kohler (π₁) is greater than in Russell (π₂), which corresponds to H₁: π₁ - π₂ > 0.

TABLE 10-12 A Quality Control Engineer Is in Charge of the Manufacture