Hypothesis testing and Errors

Reorder the following steps for Hypothesis testing.

• State your research hypothesis as a null hypothesis (H_o) and alternate hypothesis (Ha).

• Collect data in a way designed to test the hypothesis.

• Perform an appropriate statistical test.

• Decide whether to reject or fail to reject your null hypothesis.

• Make a conclusion:

A Type I error occurs when

• A test statistic is incorrect.

• A null hypothesis is not rejected but should be rejected.

• A null hypothesis is rejected but should not be rejected.

• None of the options listed here.

A Type II error occurs when

• A test statistic is incorrect.

• A null hypothesis is not rejected but should be rejected.

• A null hypothesis is rejected but should not be rejected.

• None of the options listed here.

Selecting the significance level α will determine;

• The probability of they type I error.

• The probability of the type II error

• The power of the test

• None of the mentioned options.

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

• the consumer group concludes the bottles have less than 12 oz. when the mean actually is 12 oz.

• the consumer group does not conclude the bottles have less than 12 oz. when the mean actually is less than 12 oz.

• the consumer group has evidence that the label is incorrect.

• None of the mentioned options

A Type I error can occur when the null hypothesis is

• correct

• incorrect

• either correct or incorrect

• neither correct or incorrect.

A Type II error can occur when the null hypothesis

• correct

• incorrect

• either correct or incorrect

• neither correct or incorrect.

If the significance level, α, is increased, then the chance of a Type I error will

• remain the same.

• decrease

• increase

• none of the above mentioned options.

If the significance level, α, is increased then the chance of a Type II error will

• remain the same.

• decrease

• increase

• none of the above mentioned options.

If the significance level, α, is increased then the power will

• remain the same.

• decrease

• increase

• none of the above mentioned options.