# On-Time Arrivals According to the Bureau of Transportation, American Airlines had an on-time arrival rate of 80.3% for a given year. Assume that this statistic is based on a sample of 1000 randomly selected American Airlines flights. Find the 99% confidence interval estimate of the percentage of all American Airlines flights that arrive on time.

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On-Time Arrivals According to the Bureau of Transportation, American Airlines had an on-time arrival rate of 80.3% for a given year. Assume that this statistic is based on a sample of 1000 randomly selected American Airlines flights. Find the 99% confidence interval estimate of the percentage of all American Airlines flights that arrive on time.

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Step 1

The formula for 100(1-α)% confidence interval for population proportion is,

Step 2

Here,

p: the sample proportion

ME: Margin of Error

n:sample size.

zα/2: critical value.

(1-α): Confidence level

Step 3

From the given information, the percentage of on-time arrival rate by American Airlines is 80.3% for a given year and there are 1000 randomly selected American Airlines flights.

That is, the sample proportion (p) is 0.803 and the sample size i...

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