This week you learned about hypothesis testing. In particular, you learned about the types of errors that can (and will) occur. You learned the difference between type I and type II errors. For this discussion board, come up with an example of a hypothesis test that could be conducted. State the null and alternative hypothesis. Then state what it would mean to have a type I vs. a type II error in the given situation. Explain which you think is “worse” given the circumstances. An example is given below using “the boy who cried wolf”:
- Null hypothesis: Wolf is not present
- Alternative hypothesis: Wolf is present
- Type I error: The boy cries wolf when there is no wolf present (reject null hypothesis when null hypothesis is true)
- Type II error: The boy does not cry wolf when there is a wolf present (fail to reject null hypothesis when alternative is true)
- Type II error in this case is worse because the people will not think that there is a danger when there actually is.
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