1.Suppose that a recent study asked a sample of Kentucky residents

"Do you believe that evolution should be taught in public schools?"

Out of the 100 people surveyed (the survey was given to a random sample) 80 responded yes. Confirm that the sample size is large enough, calculate a 95% confidence interval and interpret the interval. (Round your answer to 4 decimal places)

2. Using the information in question 1 calculate a 90% interval. You do not need to check the sample size or interpret the interval. (Round your answer to 4 decimal places)

3. Using the information in question 1 calculate a 99% interval. You do not need to check the sample size or interpret the interval. (Round your answer to 4 decimal places)

4. Compare your answers from questions 1-3.What happens to a confidence interval when the level of confidence changes but everything else remains the same?

5.You have decided to find a new one-bedroom apartment to live in. You want to find an apartment no further than a 30 miles from EKU.Using Zillow you take a random sample of 61 apartments.The mean rent of the sample is 640 dollars and the standard deviation 55 dollars. You want to use 95% confidence interval for the mean monthly rent for one-bedroom apartments within 30 miles of EKU to get an idea of how much on average people spend. Confirm that the sample size is large enough, calculate a 95% confidence interval and interpret the interval.(Round your answer to 2 decimal places)

6. Using the information in question 5 calculate a 95% interval assuming you sampled 10 apartments instead of 61. You do not need to check the sample size or interpret the interval. (Round your answer to 2 decimal places)

7. Using the information in question 5 calculate a 95% interval assuming you sampled 101 apartments instead of 61. You do not need to check the sample size or interpret the interval. (Round your answer to 2 decimal places)

8. Compare the answers from questions 5-7.What happens to a confidence interval when the sample size changes but everything else remains the same?