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Which of the following risks is related to the effectiveness of testing?

1) The risk of incorrect rejection.
2) Inherent risk.
3) The risk of incorrect acceptance.
4) None of these.

1 Answer

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Final answer:

The risks related to testing effectiveness are Type I error, which is the risk of incorrect rejection and corresponds to option 1, and Type II error, which is the risk of incorrect acceptance and aligns with option 3.

Step-by-step explanation:

Risks Related to the Effectiveness of Testing

The risks related to the effectiveness of testing within the scenario of hypothesis testing in statistics are the Type I and Type II errors. A Type I error occurs when a true null hypothesis is incorrectly rejected, which corresponds to option 1) The risk of incorrect rejection. A Type II error happens when a false null hypothesis is incorrectly accepted as true, which aligns with option 3) The risk of incorrect acceptance.

To illustrate, consider a scenario where we have the null hypothesis that the percentage of adults who have jobs is at least 88 percent. A Type I error would be to reject this null hypothesis when, in fact, it is true (the percentage of adults with jobs is indeed at least 88 percent). Conversely, a Type II error would be not to reject the null hypothesis when, in fact, it is false (the percentage of adults with jobs is less than 88 percent).

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