In an effort to reduce boarding time, an airline tries a new method of boarding its planes. Historically, only 32% of passengers were satisfied with the boarding process. A random sample of 33 passengers using the new boarding process found 47% who said they were satisfied with the boarding process, yielding a test statistic of 1.8473.
(a) What is the p-value of the hypothesis test to determine if this new boarding process resulted in improved passenger satisfaction? (4 decimals)
(b) What is the meaning of a Type I error in this context? The airline concludes _______ proportion of passengers were satisfied, when in reality, _____ proportion of passengers were satisfied.
(c) Which significance level would minimize the likelihood of making a Type I error?
α = 0.01
α = 0.10
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