A certain fraction of antibiotics injected in the bloodstream are "bound" to serum proteins. This is the  phenomenon of considerable pharmacological significance, because as the extent of binding increases, the systematic uptake of the drug reduces. This, in turn, bears directly on effectiveness the medication will ultimately have. In a recent study, determinations were made of binding percentages characteristic of five widely employed antibiotics: Penicillin G(I), tetracycline (II), streptomycin (III), erthroomycin (IV), and chloramphenicol (V). Bovine serum was employed in each instance, but the results are comparable to what could be expected in human serum. Are the true binding percentages for five antibiotics tested all equal? Let α = 0.05.