Time: 30 Minutes s r ondex for the next two wecks. At the close of each day\'s t

Question

Time: 30 Minutes s r ondex for the next two wecks. At the close of each day's trading, he records the actual points on the index. to see how his ofe: Do not share calculator or material among each other Question I (I points) n economist is deriving a model to predict outcomes on the He wants w well his model matched what actually happened. Determine the appropriate test to be used in the Chi? goodness of fit Chi test of independence . Chi test for homogeneity d. Unable to determine Question 2 (I points) ueteorologist wants to know if East and West Australia have she use? ants to know if East and West Australia have the same distribution of storms. Whatt a. Chi? goodness of fit b. Chi2 test of independence C Chi' test for homogeneity d. Unable to determine Question 3 (4 points) A 20 table, and are classified by ethnic group and response type. Are group? Conduct a test of independence at the5% significance level. poll in California surveyed people about taxing sugar-sweetened beverages. The results are presented in bel the poll responses independent of the participants' 13 Latino Row Tota 628 459 84 White/Non African Hispan Asian Opinion/Ethnicity American Against tax In Favor of tax American 24 71 160 147 48 54 16 118 234 43 710 No opinion Column Total 272 1171 c. What are the degrees of freedom? d. State the distribution to use for the test e. What is the test statistic? What is the p- value? In one to two complete sentences, explain what the p-value means for this problem

Explanation / Answer

a. H0: Opinion and ethinicity are independent
b. H1: Opinion and ethinicity are not independent

c. Degrees of freedom = (3-1)*(4-1) = 6

d. Chi-square distribution

e.

Er,c = (nr * nc) / n

2 = [ (Or,c - Er,c)2 / Er,c ] = 48.6

e)

p-value = 0.0000

Observed Asian American White African Latino total Against Tax 48 433 41 160 682 In Favor 54 234 24 147 459 No opinion 16 43 16 19 94 Total 118 710 81 326 1235

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