4, Two proportion test - Question 8) A researcher conducted on a new drug a study to reduce depression of adult in one clinic. She use ten patients and measure the depression score at baseline and measure the same patient after ten days. Note: the high score is more depressed. The following is the information for ten patients: Each parts 4 points total 12 pointshigh score = more depressed Calculate by Hand or use the output to answer the questions: 11 Depression Score Difference Patient Baselin 10 Days di= 10 Days - D 2 baseline 1 20 10 10 100 N 30 20 -10 100 3 20 10 -10 100 A 10 20 10 100 5 32 20 -12 144 6 25 15 10 100 7 35 25 -10 100 8 45 30 15 225 9 40 20 -20 400 10 15 20 5 25 272 190 - 0. -82 1394 27.2 19 , 0 Ha : 27.2 (t| 9 -2.90 0.0177 a) What statistical test researcher should use? 1. One proportion test (2 One sample T-test when population variance is unknown 3. One sample T-test when population variance is known 4. One paired sample T-test HN = - 8. 2000 b) What is the value of T statistics? 5,8408 Ho > - 8.20 1. -6.65 2. -1.56 3. 3.56 4: )-2.90 c) Can we conclude based on these data that the new drug improves patient depress level at alpha .01? 1. Yes, because our absolute test statistics is greater than T value from T table 2. No, because our absolute test statistics is less than T value from T table