Suppose that 79% of college men and 75% of college women were employed last summer. A sample survey interviews SRSs of 500 college men and 500 college women. The two samples are independent. Use 2 decimal places for means and 4 decimal places for standard deviations.
a) Specify the approximate sampling distribution of the sample proportion of women who worked last summer, p-hat(w). What is the mean?
b) What is the standard deviation?
c) Specify the approximate sampling distribution of the sample proportion of men who worked last summer, p-hat(m). What is the mean?
d)What is the standard deviation?
e) The survey wants to compare these groups of men and women. Describe the approximate sampling distribution of the difference in the proportions of men and women who worked, p-hat(m) - p-hat(w). What is the mean?
f) What is the standard deviation?