Test Hypotheses About a Population Mean with Unknown
-A Local $0.0287$

Test Hypotheses about a Population Mean with Unknown
-A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 30 minutes. The owner has randomly selected 16 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 30 minutes. Suppose the P-value for the test was found to be $0.0287$ . State the correct conclusion.

A) At $\alpha = 0.025$ , we fail to reject $\mathrm { H } _ { 0 }$ .
B) At $\alpha = 0.05$ , we fail to reject $\mathrm { H } _ { 0 }$ .
C) At $\alpha = 0.02$ , we reject $\mathrm { H } _ { 0 }$ .
D) At $\alpha = 0.03$ , we fail to reject $\mathrm { H } _ { 0 }$ .