work shown...assistance needed please

3. If you haye a box with 0's and 1's on the tickets. what is the biggest the SD of this box can possibly be? [As always. you must show your work to get full credit} Answer: In a US. state with population of approximately 1.5 million adults. a polling agency wants to estimate the percent of adults who support legalizing marijuana for recreational use. They want their 95% confidence interyal to have a width of no more than 2%. but they also want to poll as few people as possible. If they hays a way of taking a simple random sample of adults in the state [a big assumption, as we knowl]. what is the smallest sample size they can take and still guarantee that the 95% confidence interval has a width of 2% or less? (Hint: Think about how the width of a 95% confidence intenral relates to the SE of the sample percentage. Your answer to 3 will also be relevant to consider.) Answer: They should randomly poll adults