Statistics Name Unit 11 Chapter 20 Test i. A random survey of adults 18 years of

Question

Statistics Name Unit 11 Chapter 20 Test i. A random survey of adults 18 years of age or older Positive Negative and living in the continental United States was Democrat 230 289 Independent 154 420 conducted where the participants were asked their reaction to the word socialism. At the same time, the individuals were asked to disclose which Republican 72 361 political party they most associate with. The results of the survey are displayed in the table to the right. Using the four-step process, test whether the reactions of the individuals to the word socialism and their political affiliation are independent. l. Ho. YI/p. arc endemt of socialism Ha: D/IR are not in of e Den em of soe to rendomly cel lected Positive a r of neaptiv cs are independent mechanics

Explanation / Answer

The contingency table above provides the following information: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].

Formulas used: Expected count = (corresponding row total*corresponding column total)/grand total.
chi square statistic = (Observed count - Expected count)2/Expected count

The chi-square statistic is 90.4611. The p-value is < 0.00001. The result is significant at p < .05. Reject null hypothesis, there is sufficient evidence to suggest the two variables are not independent of each other

Positive Negative Row Totals Democrat 230  (155.09)  [36.18] 289  (363.91)  [15.42] 519 Indpendent 154  (171.52)  [1.79] 420  (402.48)  [0.76] 574 Republican 72  (129.39)  [25.45] 361  (303.61)  [10.85] 433 Column Totals 456 1070 1526  (Grand Total)

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