4. (12 points) Suppose 32% of all students at Big University exercise. In a random sample of 150 students, it is found that 42 exercise regularly. Let p = sample proportion of students that exercise at Big University. Suppose we repeat this process 1000 times, getting 1000 values of p . Give notation and the numerical value on each one. a) (2 pts) What is the sample proportion of students that exercise at Big U? b) (2 pts) What is the proportion of all students that exercise at Big U? c) (2 pts) What do you expect the mean of the 1000 different values of p to d) (2 pts) What is the standard deviation of the 1000 different values of p e) (4 pts) Is the sample size large enough to say the sampling distribution of p is normal? Justify your