PROBLEM 4E

Let X1,X2, . . . ,Xn be a random sample of Bernoulli trials b(1, p).

(a) Show that a best critical region for testing H0: p = 0.9 against H1: p = 0.8 can be based on the statistic

(c) What is the approximate value of β = P[Y > n(0.85); p = 0.8 ] for the test given in part (b)?

(d) Is the test of part (b) a uniformly most powerful test when the alternative hypothesis is H1: p < 0.9?

Chapter 1 - Introduction: The Web of Life Case Study - frogs with deformities discovered by elementary/middle schoolers while obtaining frogs for science project - frogs had missing or extra legs - 30 - 40% of frogs in pond were deformed - discovery of deformity led scientist to the conclusion...