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A Student Union executive wants to estimate the proportion of homeowners who live in a sub-division...

A Student Union executive wants to estimate the proportion of homeowners who live in a sub-division that neighbors the university are opposed to city council move that removes residential restrictions that would allow for more secondary-suites. This SU executive hires you to take a poll of ? homeowners in the sub-division. You wish to be 95% confident in your sample. In addition, you want to estimate ? to within 0.034 of the true value of ?. (a) How large of a random sample should you take? (When values from a distribution, use three decimals.) ?= ? (b) You decide to take a small simple random sample of ?=7 home-owners, of which 4 indicated they are against more secondary-suites. From this information, how many homeowners should you randomly sample to estimate ?? Use the same level of confidence and error as you did in (a) .

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