Exercise 1 King Joffrey's mom has a million muffins and thinks that at least half of them are poisoned. She obtains a random sample of a sample of 200 muffins and finds that only 80 of them are poisoned. She now thinks it's possible that fewer than half are poisoned. Let p represent the true proportion of poisoned muffins. a) (1.5 points) Perform an appropriate test at significance level o = 0.01 to test her hypothesis. b) (1 point) Change the Null Hypothesis from 1(a) to p 2 0.4, and perform a test at significance level 0 = 0.05. c) (0.5 point) Create a 95% confidence interval for p. d) (0.5 point) Create a 95% confidence upper bound for p