A college surveys incoming students every year. An excerpt of one such survey, for business students only, is available in MyStatLab (you may have looked at this data set for the Test Your Knowledge exercise at the end of Chapter 7). For this question, consider these particular incoming students as a random sample of all students entering business programs in Canadian colleges for this year (for convenience, we will refer to these students simply as "incoming students").
a. Construct a 96% confidence interval estimate of the proportion of incoming students who have laptops.
b. How large a sample size would be required to estimate the proportion of incoming students with laptops to within 2%, with 96% confidence?
c. Construct a 96% confidence interval estimate of the proportion of incoming students who rent rooms.
d. Construct a 96% confidence interval estimate of the average mark of incoming students.
e. Construct a 96% confidence interval estimate of the amount of savings available for education.
f. How large a sample would be required to estimate the amount of savings available for education to within $200, with 96% confidence?