From May 15 through June 30, 2012, American Airlines flew 152 flights from Chicago, Illinois, to Austin, Texas. Of these, 22 arrived late. Treat this as a random sample and conduct a test with the intent of establishing that the population proportion of late flights is greater than .10.
(a) Formulate the null and alternative hypotheses. Define any symbols.
(b) Determine the test statistic.
(c) Give the form of the rejection region.
(d) What is the conclusion to your test? Take α = .05.
(e) Calculate a P-value.
(f) Based on part (d), what error could you have possibly made?