The Democrat and Chronicle reported that 25% of the flights arriving at the San Diego airport during the first five months of 2001 were late (Democrat and Chronicle, July 23, 2001). Assume the population proportion is p = .25.
1. Calculate ? ( ) with a sample size of 800 flights (to 4 decimals).
2. What is the probability that the sample proportion will be within +/- .03 of the population proportion if a sample of size 800 is selected (to 4 decimals)?
3. What is the probability that the sample proportion will be within +/- .03 of the population proportion if a sample of size 400 is selected (to 4 decimals)?