Continuing with the previous context: You work for the Advancement office, but now you'd like to test whether more than 30% of all living Witt alumni have donated to Witt in the past year. Recall, you randomly sampled 125 alumni and found that 52 have donated within the past year. a) State the hypotheses for this test, using the standard symbolic notation (i.e., not in words). (4 points) b) Is n large enough for each group in order to use a normal approximation if not, still move forward with the hypotheses test)? (4 points) c) Calculate the standardized test statistic using the methods from this unit (using the right symbol and giving its value). Show all work including the formula you used. Use the formula from Chapter 6, and NOT the randomization method from previous chapters. (5 points) d) Find the p-value for this test using StatKey. (3 points) e) Using the p-value in part d), make an appropriate conclusion from this test, using a = 0.05, and in context also, of course. (4 points)