An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 100100 engines and the mean pressure was 4.94.9 pounds/square inch (psi). Assume the population standard deviation is 0.60.6. The engineer designed the valve such that it would produce a mean pressure of 4.84.8 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.020.02 will be used. Find the P-value of the test statistic. Round your answer to four decimal places.