Sample Sizes and Proportions

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

a. Show the samplingdistribution of p, the proportion of late flights in a sample of 1000 flights.

b. Determine the probabilitythat the sample proportion will be within ± .03 of the population proportion if a sample of size 1000 is selected.

c. Determine the probability that the sample proportion will be within ± .03 of the population proportion if a sample of size 500 is selected.

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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 …

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