A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample of 250 students was selected. Let p hat = the proportion of students in the sample who claimed to work out at least 3 times a week. What is the standard deviation of the sampling distribution of p hat ? Enter your answer as a decimal rounded to the hundredths place. The standard deviation of the sampling distribution of p hat is