Suppose we wish to estimate the population proportion of adults in a large geographical region who own a car. In a random sample of 800 adults in this region, 487 own a car. If we wish to construct a 90% confidence interval for the true proportion of adults in this region who own a car, what is the appropriate margin of error?

(Give your numeric response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.)

Suppose we are interested in calculating a 90% confidence interval for the mean of a normally distributed population. We've drawn a sample of 10 observations from this population, and found a sample mean of 328.0 and a sample standard deviation of 20.0.

What is the appropriate lower endpoint of the 90% interval for mu? (e.g. If the interval is (3.712,9.674), give 3.712 as your response.)

(Give your response to at least 3 decimal places. Give only your numeric response, and no extra characters or symbols.)