Lab 8.2 Confidence Interval (Place of Birth) Student Learning Outcomes . Calculate the 90% confidence interval for the proportion of Brunswick CC students who were born in North Carolina. Determine the effects of changing conditions on the confidence interval. Interpret confidence intervals. Collect the Data 1. 60 randomly selected Brunswick CC students were asked if they were born in North Carolina. 42 of them answered yes. 2. In words, define the random variable p. 3. State the sampling distribution of p. Find the Confidence Interval and Error Bound 1. Calculate the 90% confidence interval for p and the corresponding error bound. a. Confidence Interval: b. Error Bound: 2. How much combined area is in the tails of the sampling distribution? a = 3. How much area is in each tail? " - Describe the Confidence Interval 1. In two to three sentences, explain what a confidence interval means in general as though you were talking to someone who has not taken statistics. 2. Interpret the confidence interval from the Find the Confidence Interval and Error Bound section. 3 . Reconstruct the confidence interval for each level in the following table: Confidence Level EBP/Error Bound Confidence Interval 50% 80% 95% 99% 4. What happens to the EBP as the confidence level increases? Does the width of the confidence interval increase or decrease? Explain why this happens