Question

Only for expert

Suppose that 70% of men and 30% of women in a state support the incumbent candidate for the governor. Assume that the numbers of men and women in the state are equal.

(a) Suppose 500 people are surveyed at random, and ^p1 is the proportion of people surveyed who say they support the incumbent. What is the variance of ^p1?

(b) Suppose that 250 men and 250 women are surveyed at random, and ^p2 is the proportion of people surveyed who say they support the incumbent. What is the variance of ^p2?

(c) Calculate the relative efficiency of ^p2 with respect to ^p1

**WARNING*** You need to explain what the difference is between part(a) and part(b) i want to know the logics behind it so stop telling me that part(a) is using 500 to be denominator and part(b) is 250, i will give you thumbdown

Also, for part(c) pay attention for which should be the denominator and numerator, if you got part(c) wrong will result thumb down

Please follow the comment, if you cant, dont answer

Answer 1