In: Statistics and Probability
3. You would like to estimate the proportion of student loan debts that are in default. You randomly select 211 people who have student loans and find that 25 are in default.
A. Construct a 95% confidence interval to estimate the proportion of student loans that are in default. (Round your sample proportion to 4 decimal points as well as round your margin of error to 4 decimal points. For example, .23916 would be .2392 and this represents 23.92%. State the answer as an interval – for example, 27.36% to 31.43%).
B. Using the same confidence level, you would like the margin of error to be with 3%, how many people with student loans should you sample?