1. An intro to stats student gets 24 out of 30 multiple choice questions correct and 32 out of 36 true/false questions correct. You're testing whether there is a difference in their correct answers between multiple choice and true/false questions. The difference in sample proportions has standard error 0.088 . a) Define the parameters of interest in words (and in context), and give the correct symbols for this parameter. (3 points) b) State the hypotheses for this test, using the standard symbolic notation (i.e., not in words). (3 points) c) Give the appropriate symbol for your best estimate of the difference in the proportions of all correct answers between multiple choice and true/false questions. Then calculate the value of this statistic. (3 points) d) Calculate the value of the standardized test statistic using the formula from Section 5.1. Be sure to show the formula you are using and show all work. (4 points) e) Using Statkey and your test statistic from part d), report the p-value for the test. (Assume the relevant sampling distribution is normalish.) (3 points)