Physicians at a clinic gave what they thought were drugs to 960 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 0.54 . Test the hypotheses that the proportion of patients improving is >0.54 . Round test stastistic to 2 decimal places and p-values to 4 decimal places.