A Local Eat-In Pizza Restaurant Wants to Investigate the Possibility $\alpha = 0.025$

Multiple Choice

A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner ofthe store has determined that home delivery will be successful if the average time spent on the deliveries doesnot exceed 32 minutes. The owner has randomly selected 23 customers and has delivered pizzas to their homesin order to test if the mean delivery time actually exceeds 32 minutes. Suppose the P-value for the test wasfound to be 0.0297. 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 $\mathrm { H } _ { 0 }$ .