4. During the 2010 World Cup tournament, Paul the Octopus (in a German aquarium) became famous for correctly predicting the winner in all 8 games it was asked to predict. Two containers of food were lowered into Paul's tank, each with a flag of the opposing teams. He made a selection by choosing which container to eat from. (Check out the video on YouTube! Search "The Life, Story and Prediction of Paul the Octopus.") Is this evidence that Paul may have psychic powers and can choose correctly more than half the time? a) Write the hypotheses in words and symbols. (Hint: What would the null proportion be for guessing correctly half the time?) b) Would it be appropriate to create a confidence interval to test these hypotheses? Explain your reasoning