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Physicians at a clinic gave what they thought were drugs to 840 asthma, ulcer, and herpes patients. Although the doctors later learned that the drugs were really placebos, 55 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.5. For the hypotheses that the proportion of improving is 0.5 against that it is >0.5, find the p-value.

𝑝= 

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