An experimental design using litter-matching was employed to test a certain drug for cancer-causing potential. From each of 50 litters of rats, three females were selected; one of these three, chosen at random, received the test drug, and the other two were kept as controls. During a 2-year observation period, the time of occurrence of a tumor, and/or death from various causes, was recorded for each animal. One way to analyze the data is to note simply which rat (in each triplet) developed a tumor first. Some triplets were uninformative on this point because either (a) none of the three littermates developed a tumor, or (b) a rat developed a tumor after its littermate had died from some other cause. The results for the 50 triplets are shown in the table.30 Use a goodness-of-fit test to
evaluate the evidence that the drug causes cancer. Use a directional alternative and let α = 0.01. State your conclusion from part (a) in the context of this setting.

Number of triplets 12 Tumor first in the treated rat Tumor first in one of the tw control rats No tumor Death from another cause Total 23 50