1.) A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 10% margin of error at a 95% confidence level, what size of sample is needed? Give your answer in whole people.

2.) You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 95% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required?

3.) Juan wants to estimate a population mean age of residents of a retirement community. Based on previous evidence, he believes the population standard deviation is approximately =7.4=7.4 years.

Juan would like to be 99% confident that his estimate is within 1.6 years of the true population mean, and asks you to help him determine the appropriate minimum sample size. How large of a sample size should Juan use?

4.) If n=190 and p^ (p-hat) =0.92, find the margin of error at a 99% confidence level Give your answer to three decimals