An automaker states that its cars equipped with electronic fuel injection and computerized engine controls will start on the first try (hot or cold) 99 percent of the time. A survey of 100 new car...

An automaker states that its cars equipped with electronic fuel injection and computerized engine controls will start on the first 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. Hint: 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).