For the Paul the Octopus data in Exercise 4.123, use StatKey or other technology to create a randomization distribution. Calculate a p-value. How unlikely is his success rate if Paul the Octopus is really not psychic?

Exercise 4.123

In the 2010 World Cup, Paul the Octopus (in a German aquarium) became famous for being correct in all eight of the predictions it made, including predicting Spain over Germany in a semifinal match. Before each game, two containers of food (mussels) were lowered into the octopus’s tank. The containers were identical, except for country flags of the opposing teams, one on each container. Whichever container Paul opened was deemed his predicted winner. Does Paul have psychic powers? In other words, is an 8-for-8 record significantly better than just guessing?