Describe type I and type II errors for a hypothesis test of the indicated claim. An urban planner claims that the noontime mean traffic flow rate on a busy downtown college campus street is at least 37 cars per minute. A. A type l error will occur when the actual noontime mean traffic flow rate is at least 37 cars per minute, but you reject $\mathrm{H}_{0}: \mu \geq 37$. B. A type I error will occur when the actual noontime mean traffic flow rate is no more than 37 cars per minute, but you fail to reject $\mathrm{H}_{0}: \mu \leq 37$. C. A type l error will occur when the actual noontime mean traffic flow rate is no more than 37 cars per minute, but you reject $\mathrm{H}_{0}: \mu \leq 37$. D. A type I error will occur when the actual noontime mean traffic flow rate is at least 37 cars per minute, but you fail to reject $\mathrm{H}_{0}: \mu \geq 37$.
Solution
Step 1 ：The question is asking to identify the correct description of type I and type II errors for a hypothesis test of the claim that the noontime mean traffic flow rate on a busy downtown college campus street is at least 37 cars per minute.
Step 2 ：A type I error occurs when we reject a true null hypothesis. In this case, the null hypothesis is that the mean traffic flow rate is at least 37 cars per minute. So, a type I error would occur if we reject this hypothesis when in fact the mean traffic flow rate is at least 37 cars per minute.
Step 3 ：A type II error occurs when we fail to reject a false null hypothesis. In this case, if the actual mean traffic flow rate is less than 37 cars per minute, but we fail to reject the null hypothesis, then a type II error has occurred.
Step 4 ：Final Answer: \(\boxed{\text{A. A type I error will occur when the actual noontime mean traffic flow rate is at least 37 cars per minute, but you reject } H_{0}: \mu \geq 37}\)
Step 5 ：\(\boxed{\text{D. A type II error will occur when the actual noontime mean traffic flow rate is less than 37 cars per minute, but you fail to reject } H_{0}: \mu \geq 37}\)
