Understanding Type 1 and Type 2 Errors

What does a Type 1 error signify in statistical hypothesis testing?

• Rejecting a true null hypothesis

• Failing to reject a false null hypothesis

• Accepting a true null hypothesis

• None of the above

Tags

CCSS.HSS.IC.B.3

What is the probability of making a Type 1 error known as?

• Delta (δ)

• Alpha (α)

• Gamma (γ)

• Beta (β)

What does the probability of making a Type 2 error represent?

• The power of the test

• The significance level of the test

• Beta (β)

• Alpha (α)

Tags

CCSS.HSS.MD.A.2

What is the power of a test in statistical hypothesis testing?

• The probability of accepting a true null hypothesis

• The probability of making a Type 2 error

• The probability of making a Type 1 error

• The probability of rejecting a false null hypothesis

Tags

CCSS.HSS.MD.A.2

In the used car example, what represents a Type 2 error?

• John's car is safe, and he correctly believes so

• John's car is unsafe, but he has no opinion on its safety

• John believes his car is safe when it is actually unsafe

• John believes his car is unsafe when it is actually safe

Which error has a greater consequence in the used car example?

• Both have equal consequences

• Neither has any consequence

• Type 2 Error

• Type 1 Error

In the used car example, which statement represents a Type 1 error?

• John thinks his car may not be safe when in fact it is safe

• John thinks his car may be safe when in fact it is not safe

• John has no opinion on the safety of his car

• John's car is safe, and he correctly believes so

In the criminal court case example, what does a Type 1 error involve?

• The jury finds an innocent defendant guilty

• The jury is undecided about the defendant's guilt

• The jury finds a guilty defendant innocent

• The defendant's guilt or innocence is not determined by the jury

What is the consequence of a Type 1 error in the criminal court case example?

• An innocent person goes free

• A guilty person is convicted

• A guilty person goes free

• An innocent person is wrongly convicted

Which type of error is considered more severe in the criminal court case example?

• Type 1 Error

• Neither is severe

• Both are equally severe

• Type 2 Error