Recall Exercise 1.1.31 about whether chimpanzees are more likely to pick the container containing more bananas rather than the one with fewer bananas. In another set of 20 trials (again with 3 bananas in one container and 4 in the other), a chimpanzee named Panzee picked the one containing 4 bananas 11 times. Does this show that Panzee is more likely to pick the container with more bananas in it in the long run? To answer this, answer parts (a)–(c) from Exercise 1.1.32 using Panzee’s statistic

Data from Exercises 1.1.31

Many types of studies have been done to see whether animals have a sense of number. In one study (Beran & Beran, 2004), researchers wanted to see whether chimpanzees could remember how many items were added to a container when they see them added one at a time. To do this they had two containers set up so the chimpanzees could not see inside them. They randomly added bananas to the containers one at a time and then had the chimpanzees choose the container they wanted. In one set of experiments, they added 3 bananas to one container and 4 to the other and had a chimpanzee named Mercury pick which container he wanted. In 20 trials, he picked the container containing 4 bananas 16 times. Does this provide evidence that Mercury is more likely to pick the container with more bananas rather than fewer bananas in the long run?