[20 points] Historically, researchers have found that 32.1% of butterflies in a large national park are monarch butterflies. Suspecting there has been a change, they take a simple random sample of 140 butterflies and find 36 are monarchs. (a) Using the information from the sample, find a 96% confidence interval for the proportion of monarchs in the park's butterfly population. Construct the interval using the four-step procedure (Prepare/Check/Calculate/Conclude). Paste the appropriate StatCrunch calculator output when finding z . (b) Assume we perform an informal hypothesis test with H0 : p = 0.321 and Ha : p 6= 0.321 using the CI from (a). What would be the conclusion of the test? Interpret the meaning of the test and the conclusion. *** Note: if you are unable to do (a), you may still complete (b) by first pasting the confidence interval output from the appropriate StatCrunch function. Paste the entire table. While you can also use this to check your result from (a), credit for (a) will only be awarded for calculating the interval in the manner of the lecture/textboo