SCENARIO 10-12
A quality control engineer is in charge of the manufacture of USB flash drives.Two different processes can be used to manufacture the flash drives.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 flash drives 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 Scenario 10-12,the null hypothesis should be rejected.

Question

Quizplus · Accepted Answer

This scenario requires performing a hypothesis test to determine if there is a statistically significant difference in the proportion of defects between the two methods of manufacturing USB flash drives. The null hypothesis is that the proportion of defects is the same for both groups, while the alternative hypothesis is that the proportion of defects for Kohler is greater than that of Russell. Using a two-sample z-test for proportions, the test statistic is calculated to be 2.53, which falls in the rejection region for a significance level of 0.01. Therefore, the null hypothesis is rejected, indicating that there is sufficient evidence to support the alternative hypothesis that Kohler produces a higher proportion of defects than Russell.

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