1.You wish to determine the proportion of patients that underestimate their weight during their annual physical. If you wish to be within 3% of the true proportion of patients that underestimate weight, 19 out of 20 times, how large a sample must you take?

2. A sample of 110 patients in emergency showed that 62 had waited longer than 4 hours to see a doctor. Construct the 99% confidence interval for the true percentage of patients that have to wait longer than 4 hours to see a Doctor.

3.Grades in a statistics class are normally distributed with a mean of 70 and a standard deviation of 10. What grade do you need to receive to be in the top 5% of students.You wish to determine the proportion of patients that underestimate their weight during their annual physical. If you wish to be within 3% of the true proportion of patients that underestimate weight, 19 out of 20 times, how large a sample must you take?