Let μ be the radiation level to which a radiation worker is exposed during the course of a year. The Environmental Protection Agency has set the maximum safe level of exposure at 4 rem per year. If a hypothesis test is to be performed to determine whether a workplace is safe, which is the most appropriate null hypothesis: H₀:μ≤4.00,H₀:μ≥4.00, or H₀:μ=4.00 ? Explain.
A. H₀:μ=4 is the best hypothesis. If H₀ is rejected, we can be convinced that μ≠4 and that the workplace is safe. If H₀ is not rejected, then the workplace might not be safe.
B. H₀:μ≥4 is the best hypothesis. If H₀ is rejected, we can be convinced that μ<4 and that the workplace is safe. If H0₀ is not rejected, then the workplace might not be safe.
C. H₀:μ≤4 is the best hypothesis. If H₀ is rejected, we can be convinced that μ>4 and that the workplace is safe. If H₀ is not rejected, then the workplace might not be safe.