10. In a random sample of 65 direct flights from New York to Boston by Hawk & Hummingbird Airline, it was found that 14 of the flights were late arrivals.

a) (15pts) Test whether the actual overall proportion of late arrival flights on this route is under 40% at a 5% level of significance

b) (5pts) Suppose the actual proportions of flights which are late arrivals is 35%. Then in part (a) was there an error made (if so which type) or was the correct decision made? (circle one)