Many people apply for jobs to serve as paramedics or firefighters, yet they cannot complete basic physical fitness standards. A recent study found that 77% of all candidates for paramedic and firefighter positions were overweight or obese (Obesity, March 19, 2009).

a. What is the expected value and the standard deviation of the sample proportion derived from a random sample of 100 candidates for paramedic or firefighter positions?

b. What is the expected value and the standard deviation of the sample proportion derived from a random sample of 200 candidates for paramedic or firefighter positions?

c. Comment on the value of the standard deviation as the sample size gets larger. L056