Question 3 (2 points) Suppose that you wish to use a 90% confidence interval to estimate to within 3 percentage points the percentage of successful applicants to a certain competitive entry university program. How many applicants need to be randomly selected? No credit without work.

Question 4 (1 point) Please refer to the situation in Question 3. Suppose that you suspect that less than 40% of all applicants to the program are successful. You are planning to conduct a significance test to find the strength of evidence for your suspicion. Please write down the hypotheses for the significance test.