Consider the series of examples in this section concerning service times in a queue. Suppose that the manager observes two service times X1 and X2. It is easy to see that both f1(x) in (9.2.1) and f0(x) in (9.2.2) depend on the observed data only through the value t = x1 + x2 of the statistic T = X1 + X2. Hence, the tests from Theorems 9.2.1 and 9.2.2 both depend only on the value of T . a. Using Theorem 9.2

UNIT 10 – Testing Hypothesis About Proportions Standardized Value (z-score, z*) – # of standard deviations an observation lies away from the mean Z = pp̂ – p = ( value – mean ) √ pq ÷ n standard deviation Hypothesis – statement about the population distribution parameter (ex: p), usually claims the parameter takes on a specific value Class Example: Study to see in bank executives are more likely to promote males than females, SRS of 48 execs were given fake resumes of 24 men & 24 women. 35 execs said they would hire the candidate; 21 male & 14 female. Is this difference evidence of discrimination Start with idea that no discrimination has occurred. If so, since males & females were equally represented in the