The lady in question (Dr. Muriel Bristol) claimed to be able to tell whether the tea or the milk was added first to a cup. Fisher proposed to give her multiple cups in random order. One could then ask what the probability was for her getting the specific number of cups, she identified correct, but just by chance. Fisher's description is less than 10 pages in length and is notable for its simplicity and completeness regarding terminology, calculations, and design of the experiment. The example is loosely based on an event in Fisher's life. The test used was Fisher's exact test.
a. If the responses were generated by random guesses, what is the probability to obtain the given table?
b. Use the Fisher's exact test to check whether the lady is up to something. What is the p-value in the Fisher's?
Test?