DS 10.4.6 presents a 2 2 contingency table that compares two drugs with respect to the

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DS 10.4.6 presents a 2 × 2 contingency table that compares two drugs with respect to the speed with which a patient recovers from an ailment. Let ps be the probability that a patient recovers in less than one week if given the standard drug, and let pn be the probability that a patient recovers in less than one week if given the new drug.
(a) Use the Pearson chi-square statistic to test whether there is any evidence that ps ≠ pn.
(b) Construct a 999J two-sided confidence interval for Ps - Pn.
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