ENGR 0020 Study Guide - Final Guide: Type I And Type Ii Errors, Null Hypothesis, F-Test
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2 2 f < f1-(cid:573)/2(v1,v2) or (cid:1858) > H0: 1 v1 = n1 1, v2 = n2 1. H1: 0 n [(cid:523)z(cid:573)/2 + z(cid:574))2 2]/ 2. H1: > 0 n = [(z(cid:573) + z(cid:574))2 2]/ 2. H1: < 0 n = [(z(cid:573) + z(cid:574))2 2]/ 2. Specific alternative: 1 2 = d0 + . H1: 0 n [(cid:523)z(cid:573)/2 + z(cid:574))2(cid:523) 1. H1: > 0 n1 = n2 = [(z(cid:573) + z(cid:574))2(cid:523) 1. H1: < 0 n1 = n2= [(z(cid:573) + z(cid:574))2(cid:523) 1. Type ) (cid:523)probability (cid:573)(cid:524): rejection of the null hypothesis when it is true. Type )) (cid:523)probability (cid:574)(cid:524): non-rejection of null hypothesis when it is false. Adjusting critical value(s) can adjust the critical region, which adjusts probability of type i error. Increase in the sample size n will decrease (cid:573) and (cid:574) simultaneously. If h0 is false, (cid:574) is maximum when parameter value. Power of a test is the probability of rejecting h0 given that h1 is true.
