Revisit Exercise 1.2.22 about the study on Rhesus monkeys. When given a choice between two boxes, 30 out of 40 monkeys approached the box that the human had gestured toward, and 10 approached the other box. The purpose is to investigate whether rhesus monkeys can interpret human gestures better than random chance. 1,3.20 For this study: a. State the null hypothesis and the alternative hypothesis in the con- text of the study, b. Determine the standardized statistic from the data. (Hint: You will need to get the standard deviation of the simulated statistics from the null distribution in an applet.) c. Interpret the standardized statistic in the context of the study. (Hint: You need to talk about the value of your observed statistic in terms of standard deviations assuming is true.) d. Based on the standardized statistic, state the conclusion that you would draw about the research question of whether rhesus monkeys have some ability to understand gestures made by humans