In: Statistics and Probability
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