Athletic trainers have developed a new training protocol for elite athletes. A random sample of 28 elite athletes are chosen and their time it takes them to run a mile is recorded. After training under the new protocol, the mile time is again recorded to determine if the new training protocol is effective.

Researchers defined thedifferences as mile timesafterthe new training protocolminusmile timesbeforethe training protocol.

At a significance level of =0.05, researchers want to test the claim that the mean difference between mile times after the new training protocol and mile times before the new training protocol is less than 0.

Assuming the requirements have been met and the p-value was found to be P = 0.003, what is the correct conclusion for this hypothesis test?

(Round your answer to three decimal places.)

Group of answer choices

Since the p-value is less than , we reject the null hypothesis. This means there is sufficient evidence to conclude that the mean difference between mile times after the new training protocol and mile times before the new training protocol is less than 0.

Since the p-value is less than , we reject the null hypothesis. This means there is not sufficient evidence to conclude that the mean difference between mile times after the new training protocol and mile times before the new training protocol is less than 0.

Since the p-value is greater than , we reject the null hypothesis. This means there is sufficient evidence to conclude that the mean difference between mile times after the new training protocol and mile times before the new training protocol is less than 0.

Since the p-value is greater than , we fail to reject the null hypothesis. This means there is not sufficient evidence to conclude that the mean difference between mile times after the new training protocol and mile times before the new training protocol is less than 0.