An airline's public relations department says that the airline rarely loses passengers' luggage. It further claims that on those occasions when luggage is lost, 91% is recovered and delivered to its...

An airline's public relations department says that the airline rarely loses passengers' luggage. It further claims that on those occasions when luggage is lost, 91% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that only 120 of 195 people who lost luggage on that airline were reunited with the missing items by the next day. Does this cast doubt on the airline's claim? Explain.

aWhich method will you use to perform the statistical inference? Choose the correct one.

1. 1-sample T


2. 2-sample T


3. 1-proportion Z


4. 2-proportion Z

bConstruct a 95% confidence interval for the proportion of lost luggage those were recovered and delivered to its owner by the next day. Interpret your interval with the context.

c Does your interval support the airline’s claim? Why?