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Consider two separate one sample confidence intervals, each for their own population proportion, pA and pB. Suppose from our samples of A and B, we obtain sample proportions of 0.1 and 0.5, respectively. Let nA and nB denote the sample size associated with each confidence interval. Assuming equal significance levels, in order to make confidence intervals with equal margins of error, which of the following must be true? A) nA > nB B) nA < nB C) nA = nB
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