Stat problems for Friday, Feb 19

1. I surveyed 109 North Carolinian adults and found that 74 of them owned dogs. Use this information to write down a 93% confidence interval for the proportion of North Carolinians who own dogs. Express your answer in two forms:
   1. $p_{\text{min}} < p < p_{\text{max}}$ and
   2. $\hat{p} \pm z^{*}SE$.
2. I'd like to run a survey of North Carolinians to assess Gov. Cooper's approval rating. I'd like a margin of error of $\pm 4\%$ at the $95\%$ confidence level. How many people do I need to survey?