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medical treatments (option 2 of 4) a kidney study is looking at how wel…

Question

medical treatments (option 2 of 4)
a kidney study is looking at how well two different drug treatments (a and b) work on kidney stones. here is the success rate that was found:

  • small stones, treatment a: 93%, 81 out of 87 trials successful
  • small stones, treatment b: 87%, 234 out of 270 trials successful
  • large stones, treatment a: 73%, 192 out of 263 trials successful
  • large stones, treatment b: 69%, 55 out of 80 trials successful

which treatment do you believe was more successful? explain.

Explanation:

Step1: Analyze small stones treatment

For small stones, Treatment A has a success rate of 93% ($\frac{81}{87}\approx0.931$) and Treatment B has a success rate of 87% ($\frac{234}{270} = 0.87$). So Treatment A is better for small stones.

Step2: Analyze large stones treatment

For large stones, Treatment A has a success rate of 73% ($\frac{192}{263}\approx0.73$) and Treatment B has a success rate of 69% ($\frac{55}{80}=0.6875$). So Treatment A is better for large stones.

Step3: Conclude

Since Treatment A has a higher success rate for both small - sized and large - sized kidney stones, Treatment A was more successful.

Answer:

Treatment A was more successful.