An automaker states that its cars equipped with electronic fuel injection and computerized engine controls will start on the fist try (hot or cold) 99 percent of the time. A survey of 100 new car owners revealed that 3 had not started on the first try during a recent cold snap.
(a) At α = .025, does this demonstrate that the automaker's claim is incorrect?
(b) Calculate the p-value and interpret it. Use MINITAB, or use Excel to calculate the cumulative binomial probability P(X ≥ 3 | n = 100, π = .01) = 1 – P(X ≤ 2 | n = 100, π = .01).