In a clinical trial, 159 flu patients took a newly developed drug and 103 of them recovered from the flu within 48 hours.
1. What is the sample statistic (p̂ or ȳ)? Please calculate/write its value.
2. Construct a 95% confidence interval for the true proportion of all flu patients who will recover within 48 hours of taking this new drug. Provide the interval in (left endpoint, right endpoint) format.
3. Interpret the meaning of your confidence interval in the context of the study.
4. Based on your confidence interval, is a 75% rate of recovery plausible? Why or why not?
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