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in a clinical trial, 200 patients who received a new medication are randomly selected. It was found that 40 of them suffered serious side effects from this new medication. Let p denote the population proportion of patient suffered serious side effects from this new medication.
1. find a point estimate for p and also construct a 95% confidence interval for p.
2. using the information from the above sample, find the minimum sample size needed to estimate the population proportion p with 80% confidence. The estimate must be accurate to within 0.02 of p
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