14. (12pts) A medical researcher wants to compare the effectiveness of two pain relievers, drug 1 vs. drug 2. They conduct an experiment and the results are shown below. Note that the "Count" = number of patients that experienced substantial pain relief with a particular drug. Two sample proportion summary hypothesis test: P1 : proportion of successes for population 1 P2 : proportion of successes for population 2 P1 - P2 : Difference in proportions Ho : P1 - P2 = 0 HA : P1 - P2 > 0 Hypothesis test results: Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value P1 - P2 76 100 200 0.12 0.057131427 2.1004201 0.0178 a. (1pt) What type of test is this? (left-, right-, two-tailed) b. (1pt) Calculate p. c. (2pt) Suppose p, = 0. 64, calculate how many in group 2 experienced substantial pain relief. d. (2pt) According to the alternative hypothesis (H : p, p, > 0), which drug is the researcher claiming does a better job at giving patients pain relief? (Circle one) Drug 1 Drug 2 e. (2pts) Use the computer output to perform step 4 of the hypothesis test (i.e., draw a graph, shaded and appropriately labeled) f. (4pts) Use the computer output to perform steps 5 & 6 of the hypothesis test at a 0.05 level of significance