(10 points) Physicians at a clinic gave what they thought were drugs to 810 patients. Although the doctors later learned that the drugs were really placebos, 53 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.48. Test the hypotheses that the proportion of patients improving is more than 0.48. 1. Find the test statistics: z = 2. Find the p-value. p = (Enter your answer to two decimal places). (Enter your answer to four decimal places).