This week you learned about hypothesis testing. In particular, you learned about
ID: 3289906 • Letter: T
Question
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.Explanation / Answer
Null Hypothesis: There is no improvement in test score for the student after joining the training session.
Alternative Hypothesis: There is a significant improvement in test score for the student after joining the training session.
Type I Error: Reject the null hypothesis when the null hypothesis is true. Here Type I error will occur when we conclude that there is a significant improvement in test score for the student after joining the training session but actually there is no improvement.
Type II Error: Fail to reject the null hypothesis when the null hypothesis is false. Here Type II error will occur when we conclude that there is no significant improvement in test score for the student after joining the training session but actually there is a significant improvement.
Type I Error will be worse here as we are going to conclude that the training session is effective to increase the score of the student but actually it is not.
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