In: Statistics and Probability
A doctor administers an antibiotic to each of 250 patients. Of these patients, 190 recover without need for further treatment.
a. Find a point estimate for the proportion of all patients who would recover using this antibiotic.
b. Find a 95% confidence interval for the proportion of all patients who would recover from this antibiotic.
c. Suppose we wanted to repeat this study. How large a sample would we need if we wanted a 99% confidence interval with an error margin of at most 0.015?