In: Math
Among a simple random sample of 322 American adults who do not have a four-year college degree and are not currently enrolled in school, 145 said they decided not to go to college because they could not afford school.
1. Calculate a 99% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval in context. Round to 4 decimal places.
( , )
2. Suppose we wanted the margin of error for the 99% confidence level to be about 3.25%. What is the smallest sample size we could take to achieve this? Note: For consistency's sake, round your z* value to 3 decimal places before calculating the necessary sample size.
Choose n =