Question
Conduct a two-sample binomial test. Based on the table below, which summarizes the results of the original 1961-1963 study, test whether there is evidence of
Conduct a two-sample binomial test. Based on the table below, which summarizes the results of the original 1961-1963 study, test whether there is evidence of differences in the proportion of obedient subjects (those who will go all the way to the maximum shock of 450 Volts) between experimental setup 3 and 4 (proximity vs. touch proximity) and between experimental setup 1 and 2 (remote vs. voice feedback).
Note: Experiment 2 (Voice-Feedback) is identical to the first experiment (in which there was no vocal protest, but mere pounding on the wall) except that vocal protests were introduced. The complaints could be clearly heard by the teacher. Experiment 3 (Proximity) placed the learner in the same room as the teacher, a few feet away. Experiment 4 required the teacher to place the learner's hand upon a shock plate in order to administer the punishment.
Maximum Shocks Administered in Experiments 1,2,3, and 4
|
| Experiment 1 | Experiment 2 | Experiment 3 | Experiment 4 |
Shock Level | Verbal Designation and voltage level | Remote () | Voice Feedback () | Proximity () | Touch-proximity () |
| Slight Shock |
|
|
|
|
1 | 15 |
|
|
|
|
2 | 30 |
|
|
|
|
3 | 45 |
|
|
|
|
4 | 60 |
|
|
|
|
| Moderate Shock |
|
|
|
|
5 | 75 |
|
|
|
|
6 | 90 |
|
|
|
|
7 | 105 |
|
| 1 |
|
8 | 120 |
|
|
|
|
| Strong Shock |
|
|
|
|
9 | 135 |
| 1 |
| 1 |
10 | 150 |
| 5 | 10 | 16 |
11 | 165 |
| 1 |
|
|
12 | 180 |
| 1 | 2 | 3 |
| Very Strong Shock |
|
|
|
|
13 | 195 |
|
|
|
|
14 | 210 |
|
|
| 1 |
15 | 225 |
|
| 1 | 1 |
16 | 240 |
|
|
|
|
| Intense Shock |
|
|
|
|
17 | 255 |
|
|
| 1 |
18 | 270 |
|
| 1 |
|
19 | 285 |
| 1 |
| 1 |
20 | 300 | 5 | 1 | 5 | 1 |
| Extreme Intensity Shock |
|
|
|
|
21 | 315 | 4 | 3 | 3 | 2 |
22 | 330 | 2 |
|
|
|
23 | 345 | 1 | 1 |
| 1 |
24 | 360 | 1 | 1 |
|
|
| Danger: Severe Shock |
|
|
|
|
25 | 375 | 1 |
| 1 |
|
26 | 390 |
|
|
|
|
27 | 405 |
|
|
|
|
28 | 420 |
|
|
|
|
|
|
|
|
| |
29 | 435 |
|
|
|
|
30 | 450 | 26 | 25 | 16 | 12 |
| Mean Maximum Shock Level | 27.0 | 24.53 | 20.80 | 17.88 |
| Percentage Obedient Subjects | 65.0% | 62.5% | 40.0% | 30.0% |
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