Quiz: Type I and II Errors

1. A Type I error occurs when
a. a null hypothesis is rejected but should not be rejected.
b. a null hypothesis is not rejected but should be rejected.
c. a test statistic is incorrect.
2. A Type II error occurs when
a. a null hypothesis is rejected but should not be rejected.
b. a null hypothesis is not rejected but should be rejected.
c. a test statistic is incorrect.
3. Selecting the significance level α will determine
a. the probability of a Type I error.
b. the probability of a Type II error.
c. the power.
4. Bottles of water have a label stating that the volume is 12 oz. A consumer group suspects the bottles are under-filled and plans to conduct a test. A Type I error in this situation would mean
a. the consumer group concludes the bottles have less than 12 oz. when the mean actually is 12 oz.
b. the consumer group does not conclude the bottles have less than 12 oz. when the mean actually is less than 12 oz.
c. the consumer group has evidence that the label is incorrect.
5. A Type I error can occur when the null hypothesis is
a. incorrect.
b. correct.
c. either incorrect or correct.
6. A Type II error can occur when the null hypothesis
a. is incorrect.
b. is correct.
c. is either incorrect or correct.
7. If the significance level, α, is increased, then the chance of a Type I error will
a. remain the same.
b. decrease.
c. increase.
8. If the significance level, α, is increased then the chance of a Type II error will
a. remain the same.
b. decrease.
c. increase.
9. If the significance level, α, is increased then the power will
a. remain the same.
b. decrease.
c. increase.
10. The power of a test can be increased by
a. choosing a smaller value for α.
b. using a larger sample size.
c. using a normal approximation.

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