Texts: 5-8) Math Lab: Describe the sampling distribution of hat(p). Assume the size of the population is 25,000. n = 700, p = 0.1. Use the Central Limit Theorem because n >= 30 and np(1-p) >= 10. Determine the mean of the sampling distribution of hat(p). mu_(hat(p)) = p = 0.1 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of hat(p). sigma_(hat(p)) = sqrt((p(1-p))/n) = sqrt((0.1(0.9))/700) (Round to three decimal places as needed.) Determine the standard deviation of the sampling distribution of hat P.