The waiting time for patients at local walk-in health clinic follows a normal distribution with a mean of 15 minutes and a population standard deviation of 5 minutes. The quality-assurance department found in a sample of 50 patients that the mean waiting time was 14.25 minutes. At the 0.05 significance level, decide if the sample data support the claim that the mean waiting time is less than 15 minutes. The p-value is 0.1446. What is your conclusion regarding this hypothesis?
A-reject the alternate hypothesis since the p-value is greater than 0.05
B-reject the nul hypothesis since the p-value is greater than 0.05
C-cannot be determined with the information provided
D-do not reject the null hypothesis since the p-value is greater than 0.05
E-do not reject the alternate hypothesis since the p-value is greater than 0.05