A researcher is interested in determining if a psychic really has power to predict. The researcher takes three cups and puts a ball under one of the cups. After mixing the cups up many times, the researcher asks the psychic which cup has the ball under it. The researcher records if the psychic was correct or not. The researcher does this one hundred times. If the psychic really has special abilities then he should pick the location of the ball more often then if it was by chance alone. The researcher is interested in determining if the correct cup is selected significantly more often then chance would suggest. What would be the null and alternative hypothesis for this case?.