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A diagnostic test is used to determine whether a patient has arthritis. A treatment will be...

A diagnostic test is used to determine whether a patient has arthritis. A treatment will be prescribed only if the doctor thinks the test gives enough evidence to suggest the patient has arthritis. The hypotheses might be stated as follows:

H0: The patient does not have arthritis HA: The patient has arthritis

Label each of the following statements as ”Type 1 Error”, ”Type 2 Error” or ”No Error” as appropriate, being sure to include some explanation for designation.

(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.

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