A new medication that is designed to decrease anxiety was tested on 87 individuals that have been diagnosed with chronic depression. After the study 36 of the test subjects reported a noticeable decrease in their anxiety and the other 52 subjects reported that they had noticed no change in their anxiety levels. Perform a binomial test on this dataset to determine whether or not the drug decreases anxiety in people with chronic depression:

a) State the value of n

b) state the value of X

c) state the null hypothesis

d) state the alternative hypothesis

e) find the critical regions alpha value of 0.05

f) calculate the z-score

g) given the results, result the null hypothesis?