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Smalltown is thinking about fixing its boundaries to limit growth and sprawl (much like Boulder!). The file smalltown.txt has results from an on-line, opt-in survey conducted by the Smalltown city council. The question is "Should Smalltown put limits new housing construction?" Survey respondents are also asked whether or not they own their home.
(a) What proportion of survey respondents want to limit new housing construction?
(b) Post-stratify! It is known that 40% of Smalltown residents own their own home. What is the post-stratification estimate of the proportion of Smalltown residents that want to limit new housing construction?
(c) Explain to the Smalltown mayor why the post-stratification estimate is different from the sample proportion.
