for banned, wbstances. The result of the test will determine whether the alick frou competition. it is possible for an athlete who has nox used a baned positive, and it is possible for an athlete who has used a benned substance un tee The struation can be described with the following null and aurstive hypothes He The athlete did not use a banned substance. H: The athlete used a banned substance. li the test result is positive, it will be determined that the athlete has used a banned substance and they will be suspended from competition. If the test result is negative l will be deter. mined that the athlete did not use a banned subsfance and they will not be suspenden rom competition. Which of the following represents a Type II error? (A) The athlete used a banned substance and is suspended from competition. (B) The athlete used a banned substance but is not suspended from competition. (C) The athlete did not use a banned substance but is suspended from competice. (D.) The athlete did not use a banned substance and is not suspended from compettin (E) The results of the test for banned substances for this athlete were inconclusive.
Question
for banned, wbstances. The result of the test will determine whether the alick frou competition. it is possible for an athlete who has nox used a baned positive, and it is possible for an athlete who has used a benned substance un tee The struation can be described with the following null and aurstive hypothes He The athlete did not use a banned substance. H: The athlete used a banned substance. li the test result is positive, it will be determined that the athlete has used a banned substance and they will be suspended from competition. If the test result is negative l will be deter. mined that the athlete did not use a banned subsfance and they will not be suspenden rom competition. Which of the following represents a Type II error? (A) The athlete used a banned substance and is suspended from competition. (B) The athlete used a banned substance but is not suspended from competition. (C) The athlete did not use a banned substance but is suspended from competice. (D.) The athlete did not use a banned substance and is not suspended from compettin (E) The results of the test for banned substances for this athlete were inconclusive.
Solution
The answer is (B) The athlete used a banned substance but is not suspended from competition. This is a Type II error because it involves failing to reject a false null hypothesis. In this case, the null hypothesis is that the athlete did not use a banned substance. If the athlete did use a banned substance (making the null hypothesis false) but is not suspended from competition (meaning the null hypothesis was not rejected), then a Type II error has occurred.
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