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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," which of the following tests will you use to find out if the Kohler method is worse than the Russell method?
Critical Value
A critical value is a point on the scale of the test statistic beyond which we reject the null hypothesis, used in significance testing.
Null Hypothesis
A statement used in statistics that suggests there is no effect or no difference, and any observed variance is due to chance.
Alpha
In statistics, alpha represents the significance level, the probability of rejecting the null hypothesis when it is actually true, often set at 0.05.
Alternative Hypothesis
The hypothesis that is tested against the null hypothesis in statistical hypothesis testing, representing a statement that indicates some effect or difference.
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