Suppose that you were asked to help design a survey of adult city residents in order to estimate the proportion who would support a sales tax increase. The plan is to use a stratified random sample, and three stratification schemes have been proposed.
Scheme 1: Stratify adult residents into four strata based on the first letter of their last name (A-G, H-N, O-T, U-Z).
Scheme 2: Stratify adult residents into three strata: college students, nonstudents who work full time, nonstudents who do not work full time.
Scheme 3: Stratify adult residents into five strata by randomly assigning residents into one of the five strata. Which of the three stratification schemes would be best in this situation? Explain.