Each scenario shows the data used for a randomisation test on a difference in two proportions. Both have a sample size of n = 30, with half being assigned to Treatment A and half to Treatment B. Scenario 1 has a difference in proportions of 0.4. Scenario 2 has a difference in proportions of 0.2. If we ran a randomisation test for each scenario, the one that would result in a smaller tail proportion in the resulting re-randomisation distribution is: Scenario 2 Scenario 1 Data Yes Yes Data Yes Yes 400 7 5 62 No 03 No 0.2 11 No 11 0.4 10 8 No 4 B To

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Each scenario shows the data used for a randomisation test on a difference in two proportions. Both
have a sample size of n = 30, with half being assigned to Treatment A and half to Treatment B.
Scenario 1 has a difference in proportions of 0.4.
Scenario 2 has a difference in proportions of 0.2.
If we ran a randomisation test for each scenario, the one that would result in a smaller tail proportion
in the resulting re-randomisation distribution is:
Scenario 2
Scenario 1
Data
Yes
Yes
Data
Yes
Yes
01
4
LO
5
02
7
No
03
No
0.2
11
→No
05
11
0.4
06
0.7
10
67
8
No
DO
4
09
B
B
10
Transcribed Image Text:Each scenario shows the data used for a randomisation test on a difference in two proportions. Both have a sample size of n = 30, with half being assigned to Treatment A and half to Treatment B. Scenario 1 has a difference in proportions of 0.4. Scenario 2 has a difference in proportions of 0.2. If we ran a randomisation test for each scenario, the one that would result in a smaller tail proportion in the resulting re-randomisation distribution is: Scenario 2 Scenario 1 Data Yes Yes Data Yes Yes 01 4 LO 5 02 7 No 03 No 0.2 11 →No 05 11 0.4 06 0.7 10 67 8 No DO 4 09 B B 10
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