Use the Following Information for Questions

Short Answer

Use the following information for questions:
Suppose that 80% of all English majors and 85% of all engineering majors at a Minnesota college wear winter boots when there is snow on the ground. Two independent random samples of 40 English majors and 60 engineering majors are to be selected during a day with snow on the ground and the proportions of students with winter boots are to be calculated.
-What is the standard deviation of the sampling distribution of the difference between the two sample proportions (English majors - engineering majors)?