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The second annual Airplane Etiquette Study commissioned by Expedia asked 1000 Am

ID: 3319953 • Letter: T

Question

The second annual Airplane Etiquette Study commissioned by Expedia asked 1000 Americans to rank the most annoying on-board behaviors of fellow passengers. Rear seat kickers topped the list with 67% of those surveyed ranking this annoying behavior as number one. You create a 99% confidence interval and find the population proportion to be within 0.038 of 0.67, or between (0.632,0.708).

Mutzabaugh, B. The most annoying type of online passengers are... USA Today. http://usat.ly/1zJYjah (accessed May 12, 2015).

Which of the following statements gives a valid interpretation of this interval?

There is a 99% chance that between 63.2% and 70.8% of all Americans would rank rear seat kickers as the most annoying on-board behavior of fellow passengers.

You are 99% confident that between 63.2% and 70.8% of all Americans would rank rear seat kickers as the most annoying on-board behavior of fellow passengers.

You are 99% confident that between 63.2% and 70.8% of the 1000 sampled passengers ranked rear seat kickers as the most annoying on-board behavior of fellow passengers.

There is a 67% chance that between 63.2% and 70.8% of all Americans would rank rear seat kickers as the most annoying on-board behavior of fellow passengers.

Explanation / Answer

The valid interpretation of the given interval is:

You are 99% confident that between 63.2% and 70.8% of all Americans would rank rear seat kickers as the most annoying on-board behavior of fellow passengers.

Option B is correct.