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. Use these Data to test the hypothesis that the proportion of travelers waiting more than 20 minutes in TSA security lines at this airport is the same as the national proportion at α = .05 Data given: Time In Line Mean 11.99496 Median 11.97536 Standard Deviation 3.992043 Confidence Level(95.0%) 0.076253 Provide a 95% confidence interval with interpretation
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
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. Use these Data to test the hypothesis that the proportion of travelers waiting more than 20 minutes in TSA security lines at this airport is the same as the national proportion at α = .05
Data given:
| Time In Line | |
| Mean | 11.99496 |
| 11.97536 | |
| Standard Deviation | 3.992043 |
| Confidence Level(95.0%) | 0.076253 |
Provide a 95% confidence interval with interpretation
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