Restless legs syndrome (RLS) causes a powerful urge to move your legsso much so that it becomes uncomfortable to sit or lie down. Sleep is difcult. A randomized trial of the drug Pramipexole was undertaken to determine its effectiveness in treating this disease. Patients were randomly assigned to one of two groups: One group was treated with Pramipexole, the other with a placebo. 0f the 193 subjects in the Pramipexole group, 81.9% reported \"much improved\" symptoms. In comparison, 54.3% of the 92 subjects in the placebo group reported \"much improved\" symptoms. (a) Does this experiment provide convincing evidence at the a = 0.05 level of a difference in the true proportion of RLS sufferers like the ones in this experiment who will experience much improved symptoms if they take Pramipexole than if they take a placebo? STATE: H0 : v v 0 H a : v v 0 where v is the true proportion of RLS sufferers like the ones in this experiment that will experience much improved symptoms if they take Pramipexole and - is the true proportion of RLS sufferers like the ones in this experiment that will experience much improved symptoms if they take a placebo. Use a = 0.05. The evidence for Ha is: C] = 0.276 - 0. PLAN: Complete this by dragging the items in the answer bank and placing them in the correct box. Leave all unused items in the answer bank. Name of the Inference Random? Large Counts? Are the conditions for Procedure I I inference met? Name of the Inference Random? Large Counts? Are the conditions for Procedure inference met? Answer Bank n2 (1 - p2) = 42 2 10 n2 (1 - P2) = 50 2 10 Two sample z test for P1 - P2 n (1 - p1) = 158 2 10 n (1 - p1) = 35 2 10 The data come from two groups in a randomized experiment. Yes. n2p2 = 42 2 10 n2p2 = 50 2 10 nip1 = 35 2 10 Two sample t test for M1 - M2 Two sample t test for x1 - X2 nip1 = 158 2 10 Two sample z test for p1 - P2 The data come from two randomly selected groups. No.DO: Z = Round your answer to 2 decimal places. P-value = CONCLUDE: Because the P-value is a = 0.05, we Ho. We convincing evidence that less than rue proportion reject ke the one do not have nt who will expe there is not greater than ey take Pramip fail to reject wake a plac have there is(b) Construct and interpret a 95% confidence interval for the difference (Pramipexole - Placebo) in the true proportions of RLS patients like these who will experience much improved symptoms. Assume the conditions for inference have been met. STATE: ( 95% CI for X1 - X2 95% CI for P1 - P2 95% CI for P1 - P2 O 95% CI for M1 - M2 PLAN: O Two sample t interval for x1 - X2 O Two sample t interval for M1 - M2 O Two sample z interval for P1 - P2 O Two sample z interval for p1 - P2 DO:Lower Bound = Round your answer to 3 decimal places. Upper Bound = Round your answer to 3 decimal places. CONCLUDE: Note: A represents the lower bound, and B represents the upper bound. 7 that the interval from A to B captures the difference (Pramipexole Placebo) in the true proportions of RLS patients like these who will experience much improved symptoms. The interval suggests that the percent of RLS patients like these who would experience much improved symptoms when taking Pramipexole is between A and B percentage points - than the percent who would experience much (c) Explain how the confidence interval from part (b) provides more information than the significance test in part (a). O The test only rejects the null hypothesis 5% of the time. O The test only allows us to reject (or fail to reject) the null The confidence interval has a greater chance of rejecting hypothesis. The confidence interval provides additional the null hypothesis. information that the significance test does not: a set of plausible values for the true difference in proportions, P1 - P2. O The test has the possibility of leading to a conclusion that ( The test only allows us to reject (or fail to reject) the null is a Type I or Type II error. A confidence interval hypothesis. The confidence interval provides additional captures the population difference in proportions 95% of information that the significance test does not: a set of the time. plausible values for the true difference in proportions, P1 - P2