Review hypothesis testing from your Math Stat course and the

Review hypothesis testing from your Math Stat course, and then answer the following: A random sample of size n = 1 is drawn from a continuous uniform distribution over the interval [0,theta], i.e., draw a single realization of a random variable X, where the pdf of X is fx(x;theta) = )1/theta 0 LE x LE theta 0 otherwise We decide to test H0: theta = 2, versus H1 : theta 2 by rejecting Ho if either x LE 0.1 or x GE 1.9, where x is the numerical value drawn from the distribution of X. Find the probability of a type I error. Find the probability of a type II error if the true value of 0 is 2.5 Find the power of the test if the true value of 0 is 2.5

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