What kind of drugs are these?
Two new drugs AntiCynicismia and AntiMisantropia are currently in a clinical trial phase, where the pharmacists determine whether the drugs are safe to use. The trial was divided into five distinct groups and the results of the experiment are as follows:
| Drug name | AntiCynicismia | AntiMisantropia |
| Group A | 436 out of 545 people were cured, or 80% success rate | 9 out of 10 people were cured, or 90% success rate |
| Group B | 245 out of 350 people were cured, or 70% success rate | 16 out of 20 people were cured, or 80% success rate |
| Group C | 48 out of 80 people were cured, or 60% success rate | 21 out of 30 people were cured, or 70% success rate |
| Group D | 10 out of 20 people were cured, or 50% success rate | 180 out of 300 people were cured, or 60% success rate |
| Group E | 2 out of 5 people were cured, or 40% success rate | 320 out of 640 people were cured, or 50% success rate |
It may seem like AntiMisantropia is a more effective drug based on the success rates on different groups. However, this is not true!
Given that is the difference in success rates between these two drugs, find the value of .
The answer is 19.5.
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Success Rate of AntiCynicismia= (436+245+48+10+2)/(545+350+80+20+5) = 74.1%
Success Rate of AntiMisantropia = (9+16+21+180+320)/(10+20+30+300+640)=54.6%
Percentage Difference in Success Rates = 74.1%-54.6% = 19.5%