Interpret Type I and Type II errors.
Example Problems
A softball coach is testing whether a new bat increases hit rate. Against a particular alternative, her test has power . What is the probability of a Type II error for that alternative?
A baseball analyst is testing whether a new batting stance increases on-base percentage. For a specific alternative, she calculates that the probability of a Type II error is . What is the power of her test against that alternative?
A Blooket developer tests whether a new question format increases student scores. The team runs a test at . Suppose the new format actually does increase scores.
The team fails to reject the null hypothesis and concludes the format does not increase scores. What type of error has been made?
The team fails to reject the null hypothesis and concludes the format does not increase scores. What type of error has been made?
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