The following sample data represent the number of late and on time flights for Delta, United, and US Airways (Bureau of Transportation Statistics, March 2012).

a. Formulate the hypotheses for a test that will determine if the population proportion of late flights is the same for all three airlines.
b. Conduct the hypothesis test with a .05 level of significance. What is the p-value and what is your conclusion?
c. Compute the sample proportion of late flights for each airline. What is the overall proportion of late flights for the three airlines?

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Flight Late On Time Delta 39 261 Airline United 51 US Airways 56 344 249