Why might it make more sense to use , the proportion in the pooled sample? What is

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Why might it make more sense to use , the proportion in the pooled sample? What is the pooled proportion if 96 out of 200 events occur in the control and 54 out of 100 events occur in the treatment?
Algorithm 8.4 uses 1 and 2 to estimate the variance under the null hypothesis.
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