Question 1 Please download the Week 4 Quiz Problems PDF attached here.

Please do not use fractions in calculations or answers; use decimals instead.

Input your solution to problem 1 here.

What is the overall proportion (across strata) of the population that has the characteristic of interest?

(At least 1 decimal digit of precision; credit awarded for answers within 0.05 of correct value.)

1 point Enter answer here 2. Question 2 What is the sampling variance of the mean from the proportionately allocated sample of n = 30?

(Hint: W = 100 / 600 = 0.16667, and (W) = (0.16667) = 0.027778. Hence, for stratum 1, where v(p) = 0.038, the contribution to the sum is (0.027778)(0.038) = 0.0010556.)

(At least 4 decimal digits of precision; credit awarded for answers within 0.0001 of correct value.)

1 point Enter answer here 3. Question 3 What is the simple random sampling variance of the estimated proportion?

(Hint: The sample size n = 30, sampling fraction is f = n / N = 30 / 600 = 0.05, and = 0.24.)

(4 decimal digits of precision; credit awarded for answers within 0.0005 of correct value.)

1 point Enter answer here 4. Question 4 What is the gain in precision from using proportionately allocated stratified sampling?

(At least 3 decimal digits of precision; credit awarded for answers within 0.001 of correct value.)

1 point Enter answer here 5. Question 5 What is the sampling variance of the mean from the entire “equal allocation” sample of n = 30?

(At least 4 decimal digits of precision; credit awarded for answers within 0.0001 of correct value.)

1 point Enter answer here 6. Question 6 What is the design effect from using “equal allocation” stratified sampling?

(At least 4 decimal digits of precision; credit awarded for answers within 0.001 of correct value.)

1 point