Question 2 1 pts 3. Let X1, X2, . . .Xn come from a U {[1, ] distribution. A researcher wants to shew that the parameter E 3:: 1 at the o: = [1.135 level. it can be shown that an appropriate test statistic is Y = max{Xi} and that the distribution of'r' is given by the cumulative distribution function 1'1 Fry} = PiY a y) = (g) Jory e {as}. a. State the null and alternative hvpotheses the researcher will compare. [lot] b. It can be shown that H has a monotone likelihood function -- in other words, the critical region will be of the form {Y E c} , {Y E c}, or {Y 1: c1 Li Y 13 car}. Find the rejection region for a size or test of Hg vs. H1 {include the value of c in terms of n}. {Bot} c. The researcher collects her data: 3r={0.1. [1.29, (15?, D36]. Calculate the test statistic, and make a conclusion based upon vour critical region. [2pt] d. What is the pvalue of the test, given your data from part c]? {2th