Suppose an experimental study on mice was performed to measure their weight. This sample contained 30 mice with 12 of these being underweight.
A. Test to see if you can use the normal approximation to the binomial proportion of mice underweight.
B. Calculate the 99% one-sided lower limit to the population proportion and the two-sides CI and compare.
C. Determine the size of a sample needed to be at least 95% confident tha the estimate p within 0.02. Use a conservative estimate for the sample size.