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Question 16 of my final exam for Design and Analysis of Sample Surveys

16. You are doing a survey in a war-torn country to estimate what percentage of unemployed men support the rebels in a civil war. Express this as a ratio estimation problem, where goal is to estimate Y.bar/X.bar. What are x and y here? Give the estimate and standard error for the percentage of unemployed men who support the rebels.

Solution to question 15

From yesterday:

15. A researcher conducts a random-digit-dial survey of individuals and married couples. The design is as follows: if only one person lives in a household, he or she is interviewed. If there are multiple adults in the household, one is selected at random: he or she is interviewed and, if he or she is married to one of the other adults in the household, the spouse is interviewed as well. Come up with a scheme for inverse-probability weights (ignoring nonresponse and assuming there is exactly one phone line per household).

Solution: Your probability of being selected is proportional to: (1/(#adults in your household))*(2 if you are married and live with your spouse). Thus, your inverse probability weight is (#adults in your household)*(1/2 if you’re married and live with your spouse).

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