A study is done to determine if students in the California state university system take longer to graduate than students enrolled in private universities. 100 students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5771 years and 1 year, respectively. Suppose the following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.2. Conduct a hypothesis test at the 5% level.

What is the p-value? (Round your answer to four decimal places.)