The data here show the results of a study of on-time/delayed departures (flights) from Chicago O'Hare and South Podunk-Mudflat airports. (Data from a random sample of flights at each airport) Chicago-O'Hare South Podunk-Mudflat Flights 900 250 Delayed Flights 252 87 (a) Does this study support (at .05 level) the claim that South Podunk has a higher proportion of delayed flights? (Show setup, full conclusion with test statistic and p-value) (b) Which type of error (Type I or Type II) is possible with your conclusion and what type of risk (a, B) is present? (c) Estimate, with 95% confidence, the difference in proportions (remember you need to adjust "Alternative hy-pothesis" and "Test method"(to "Estimate separately") on the "Options" screen and your statement must include "greater" (or "more") or "smaller" (or "less") - it must indicate which way the difference goes)