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 (or 80%). Do these data convince you that Mercury is more likely to pick the container with more bananas in it in the long run? A null distribution, with 100 repetitions, for testing this situation is shown.

a. Describe the parameter of interest in the context of this study and assign a symbol to denote it. b. What is the observed value of the statistic in this case? c. Write out the null and alternative hypotheses for this first in words and then in symbols. d. We conducted a test of significance using the One Proportion applet and got the following null distribution for the "number of heads." (Note: This null distribution uses only 100 simulated samples and not the usual 1,000 or more.) Based on the null distribution, what is the p-value for the test? How did you calculate it?

Note- strictly prohibited handwritten solution I need step by step solution in typed form and also mentioned the final answer.