Question

In: Statistics and Probability

According to the U.S. Transportation Security Administration (TSA), 2% of the 771,556,886 travelers who utilized 440...

According to the U.S. Transportation Security Administration (TSA), 2% of the 771,556,886 travelers who utilized 440 federalized airports in 2017 waited more than 20 minutes in the TSA security line. The File TSAWaitTimes contains waiting Times in TSA security lines at a major U.S. airport for a recent random sample 10,531 travelers.

Data given:

Time In Line
Mean 11.99496
Median 11.97536
Standard Deviation 3.992043
Confidence Level(95.0%) 0.076253

a. Use these Data to test the hypothesis that the proportion of 226 travelers waiting more than 20 minutes in TSA security lines at this airport is the same as the national proportion at α = .05

b. Provide a 95% confidence interval with interpretation

Note :226 people waited more than 20 minutes

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