A report issued in 1966 about the effect of radiation on patients with inoperable lung cancer compared

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A report issued in 1966 about the effect of radiation on patients with inoperable lung cancer compared the effect of radiation treatment with placebos. The numbers surviving after a year were:

No. of cases No. surviving Radiation 308 56 Placebos 246 34

What are the approximate posterior odds that the one-year survival rate of irradiated patients is at least 0.01 greater than that of those who were not irradiated?

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