Understanding Type I and II Errors

What is a Type I error in hypothesis testing?

• Accepting a true null hypothesis

• Rejecting a true null hypothesis

• Accepting a false null hypothesis

• Rejecting a false null hypothesis

What is a Type II error in hypothesis testing?

• Accepting a true null hypothesis

• Rejecting a true null hypothesis

• Accepting a false null hypothesis

• Rejecting a false null hypothesis

In the context of a medical test, what would a Type I error imply?

• A healthy person is diagnosed as sick

• A sick person is diagnosed as healthy

• A healthy person is correctly diagnosed as healthy

• A sick person is correctly diagnosed as sick

In the context of a medical test, what would a Type II error imply?

• A healthy person is diagnosed as sick

• A sick person is diagnosed as healthy

• A healthy person is correctly diagnosed as healthy

• A sick person is correctly diagnosed as sick

Which of the following statements is true regarding Type I and Type II errors?

• Type I error is more serious than Type II error

• Type II error is more serious than Type I error

• The seriousness of Type I and Type II errors depends on the context

• Both errors are equally serious

• 0.01

• 0.05

• 0.10

• 0.50

Which of the following can reduce the probability of a Type II error?

• Increasing the sample size

• Decreasing the sample size

• Increasing the significance level

• Decreasing the significance level

In a court trial, what would a Type I error correspond to?

• Convicting an innocent person

• Acquitting a guilty person

• Convicting a guilty person

• Acquitting an innocent person

In a court trial, what would a Type II error correspond to?

• Convicting an innocent person

• Acquitting a guilty person

• Convicting a guilty person

• Acquitting an innocent person

Which of the following is a method to control Type I error?

• Increasing the sample size

• Setting a lower significance level

• Setting a higher significance level

• Decreasing the sample size