A Local Eat-In Pizza Restaurant Wants to Investigate the Possibility $\alpha = .025$

Multiple Choice

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 only if the average time spent on a delivery does not exceed 40 minutes. The owner has randomly selected 17 customers and delivered pizzas to their homes in order to test whether the mean delivery time actually
exceeds 40 minutes. Suppose the p-value for the test was found to be .0293. State the correct conclusion.

A) At $\alpha = .025$ , we fail to reject $H _ { 0 }$ .
B) At $\alpha = .02$ , we reject $H _ { 0 }$ .
C) At $\alpha = .05$ , we fail to reject $H _ { 0 }$ .
D) At $\alpha = .03$ , we fail to reject $H _ { 0 }$ .