A medical doctor uses a diagnostic test to determine whether a patient has arthritis. A treatment will be prescribed only if the doctor thinks the patient has arthritis. The situation is similar to using a null and an alternative hypothesis to decide whether to prescribe the treatment. The hypotheses might be stated as follows. H0 : The patient does not have arthritis

Ha : The patient has arthritis

Which of the following represents a Type II error for the hypotheses?

A
Diagnosing arthritis in a patient who has arthritis

B
Failing to diagnose arthritis in a patient who has arthritis

C
Diagnosing arthritis in a patient who does not have arthritis

D
Failing to diagnose arthritis in a patient who does not have arthritis

E
Prescribing treatment to a patient regardless of the diagnosis