Question: A 2005 Bureau of Transportation Statistics study reported that 90.1 % of airline passengers surveyed reported that they were satisfied or very satisfied with the overall experience at the passenger security checkpoint.

1. Assuming that the 90.1% figure is correct, how large a sample would be required to reduce the margin of error for a 95% confidence interval estimate of the proportion of passengers satisfied or very satisfied with the overall experience at the passenger security checkpoint to .03?
2. Assuming that the 90.1% figure is correct, how large a sample would be required to reduce the margin of error for a 95% confidence interval estimate of the proportion of passengers satisfied or very satisfied with the overall experience at the passenger security checkpoint to .02?
3. For a fixed level of confidence, what is the relationship between sample size and margin of error?

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