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This study examines the effectiveness of drug testing welfare recipients, determining if recipients are drug-free or not, and the consequences of Type I and Type II errors.
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Example: the Justice system: A person is accused of murder and is on trial. How should the error table look like?
Null hypothesis D E C I S I O N Defendant is not innocent Defendant is innocent Type I Error Defendant is found NOT innocent Correct Decision Convict Type II Error Defendant is found innocent Correct Decision Acquit
Are the consequences of Type I error more severe or Type II error consequences?
The recipient is drug free The recipient is NOT drug free Test + Type I error Correct Decision Correct Decision Type II error Test -
Example in Education • The state of Georgia is considering spending $350 million on a computerized mathematics curriculum that for grades 3 – 10. They pilot the program with 250 students in grades 5 and 6 whose end-of-course test scores are compared to the state average score of 150.
Example in Medicine • Pharmaceutical researchers are testing a new drug for acne. Severity of acne is rated on a scale of 1 – 7, 7 being “worst.” Side effects for the new drug may include vomiting, upset stomach, mild fever and/or hyperactivity. Their sample size is 80, with participants randomly assigned to a control group (n = 40) and treatment group (n = 40).