1. Amy is a contestant on a singing reality tv show. Every week, the public votes for the contestant who they think should win, and the person with the least amount of votes has to leave. Amy is worried that her performance did not go well and that she might be voted off. Before the public voting officially begins, she tweets to her followers and sets up a poll where she asks them if they would vote for her or not. 9714 people respond, and out of them, 2395 say they would vote for her. Find the 90% confidence interval for the true proportion of the votes that Amy will get. Report the minimum proportion of voters that she can be 90% confident will vote for her.

Note: 1- Only round your final answer. 2- Round your final answer to 2 decimal place. Enter your final answer with 2 decimal place. 3- Report your proportion as a decimal number and not a percentage.

2. A survey of 163 students is selected randomly on a university campus. The students were asked on the survey if they use their laptop in class to take notes. Suppose that based on the survey results, 55 of the 163 students responded "yes".

Construct an approximate 95% confidence interval for the true proportionand report the lower limit of the interval.

Note: 1- Your final answer should be expressed as a decimal number and not a percentage. 2- Round any intermediate numbers to 4 decimal places. 3- Round your final answer to 3 decimal places. Enter your final answer with 3 decimal places.