Medical tests for diagnosing conditions such as breast cancer are fallible, just like decisions in significance tests. Identify (H0 true, H0 false) with disease (absent, present), and (Reject H0, Do not reject H0) with diagnostic test (positive, negative), where a positive diagnosis means that the test predicts that the disease is present.

Explain the difference between Type I and Type II errors in this context. Explain why decreasing P(Type I error)

increases P(Type II error), in this context.