MODULE 10 - SECTION 12.2 - HOMEWORK AEC 505 - Statistical Methods in Agriculture Instructor: Dr. Jose Lopez Name: Date: I. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Submit your answers to the Homework via the Quiz sub-tab under the Module 10 tab. 1) In a x test of independence, the null hypothesis is that A) each element of each set has the same probability of occurrence. B) the random variables are dependent. C) there is an association. D) there is not an association. 2) In a chi-square test of homogeneity of proportions we test the claims that A) across a single sample the proportion of individuals with the same characteristic is the same as the population. B) the proportion of individuals with a given characteristic doesn't change over time. C) the proportion of a population having a given characteristic is based on the homogeneity of the population. D) different populations have the same proportions of individuals with the same characteristics. 3) is a test of a single population and is to determine if there is an association between two characteristics of that population. A) The chi-square test for independence B) Pearson product moment test C) The chi-square test for homogeneity D) Goodness-of-fit test E) Welch's t test 4) is a test to determine if two distinct populations are the same with respect to a single characteristic, i.e. if that characteristic is exhibited by the same percentage of the two populations. A) The chi-square test for independence B) Goodness-of-fit test C) The chi-square test for homogeneity D) The Behrens-Fisher test E) Pearson product moment test 5) The procedures and assumptions for the chi-square test for independence and the chi-square test for homogeneity are the same. A) True B) False6) A variable that is chi-square distributed can take positive or negative values. A) True B) False 7) The idea behind the chi-square test for independence is to compare actual counts to the counts we would expect if the null hypothesis were true (if the variables are independent). If a significant difference between the actual counts and expected counts exists, we would take this as evidence against the null hypothesis. A) True B) False 8) If two events are independent, then the probability of events X and Y equals the probability of event X times the probability of event Y. A) True B) False 2