Physicians at a clinic gave what they thought were drugs to 930 asthma, ulcer, and herpes patients. Although the doctors later learned that the drugs were really placebos, about 55 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.52 For the hypotheses that the proportion of improving is less than or equal to 0.52 against the hypothesis that it is greater than 0.52 , find the approximate p-value.

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