Article described a study that investigated whether rhesus monkeys have some ability to understand gestures made by humans. In one part of the study, the experimenter approached individual rhesus monkeys and placed two boxes an qual distance from the monkey. The experimenter then placed food in one of the boxes, making sure that the monkey could tell that one of the boxes received food without revealing which one. Finally, the researcher pointed and looked toward the box that contained the food. This process was repeated for a total of 40 rhesus monkeys. It turned out that 31 of the monkeys approached the box that the human had gestured toward, and 9 approached the other box. The purpose is to investigate whether rhesus monkeys can interpret human gestures better than random chance

1. Without using an applet, determine the value of the theory-based (normal approximation) p-value if we used a two-sided alternative hypothesis.

2. Using an appropriate applet, find the p-value using a theory-based test (one-proportion z-test; normal approximation)