Question

Donated blood is tested for infectious diseases and other contaminants. Since most donated blood is safe, workers save time and money by testing batches of donated blood rather than testing individual samples. Workers perform a test to check if a certain toxin is present, and the entire batch is discarded if the toxin is detected. This is similar to using a null and an alternative hypothesis to determine whether to discard the batch. The hypotheses being tested could be stated as: H_0:H 0 ​ :H, start subscript, 0, end subscript, colon The batch does not contain the toxin. H_\text{a}:H a ​ :H, start subscript, start text, a, end text, end subscript, colon The batch contains the toxin. Under which of the following conditions would the testers commit a Type II error?

Answer 1

A Type II error occurs when the testers fail to reject the null hypothesis when it is actually false.

Step-by-step explanation:

A Type II error occurs when the testers fail to reject the null hypothesis when it is actually false. In this case, it means that the batch contains the toxin, but the testers incorrectly conclude that it does not. This can happen when the test used has a low sensitivity or when the sample size is too small to detect the presence of the toxin.

Answer 2

The batch is discarded when it actually doesn't contain the toxin.

Step-by-step explanation:

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