33. Nonmedical Pain Reliever use. The National Survey on Drug Use and Health reported that 4.8% of persons ages 12 or older used a prescription pain reliever nonmedically.14 Suppose that a random sample of 900 persons ages 12 or older found 54 who had used a prescription pain reliever nonmedically. If appropriate, test whether the population proportion has increased, using level of significance .
9.5.33
Both and , so the conditions for using the test for proportions are met.
Step 1
We reject if the .
Step 2
Step 3
Step 4 The is not , so we do not reject . There is insufficient evidence at level of significance that the population proportion of persons ages 12 or older who used a prescription pain reliever nonmedically has increased from 4.8%.