In Exercises 29–34, write sentences describing type I and type II errors for a hypothesis test of the indicated claim.

32.) ER Visits

A hospital spokesperson states that 2% of emergency room visits by college undergraduates are for alcohol-related health problems.

Identifying Tests

In Exercises 35–40, determine whether the hypothesis test for each claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning.

37.) Lung Cancer

A government report claims the proportion of lung cancer cases that are due to smoking is 90%.

33.) Mathematics Assessment Tests

In Illinois, a random sample of 85 eighth grade students has a mean score of 265 with a standard deviation of 55 on a national mathematics assessment test. This test result prompts a state school administrator to declare that the mean score for the state’s eighth graders on the examination is more than 260. At a = 0.04, is there enough evidence to support the administrator’s claim? (Adapted from National Center for Education Statistics)

32.) ER Visits

A hospital spokesperson states that 2% of emergency room visits by college undergraduates are for alcohol-related health problems.

Identifying Tests

In Exercises 35–40, determine whether the hypothesis test for each claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning.

37.) Lung Cancer

A government report claims the proportion of lung cancer cases that are due to smoking is 90%.

33.) Mathematics Assessment Tests

In Illinois, a random sample of 85 eighth grade students has a mean score of 265 with a standard deviation of 55 on a national mathematics assessment test. This test result prompts a state school administrator to declare that the mean score for the state’s eighth graders on the examination is more than 260. At a = 0.04, is there enough evidence to support the administrator’s claim? (Adapted from National Center for Education Statistics)