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fCohen's conventions for Cramer's phi Cohen's Conventions for Cramer's Phi Effect Size Smallest Side of Contingency Table Small Medium Large 2 (dismaller =1) 0.10 0.30
\fCohen's conventions for Cramer's phi Cohen's Conventions for Cramer's Phi Effect Size Smallest Side of Contingency Table Small Medium Large 2 (dismaller =1) 0.10 0.30 0.50 3 (dfsmaller =2) 0.07 0.21 0.35 4 (dfsmaller = 3) 0.06 0.17 0.29A psychologist is interested in whether the community a person lives in is related to that person's opinion on an upcoming ballot initiative. The psychologist surveys 87 people by phone with the results shown below. Is opinion related to community at the 0.05 level? Complete parts (a) and (b) Click the icon to view the table of cutoff scores for the chi-square distribution. Community A Community B Community C For 8 3 Click the icon to view the table of Cohen's conventions for Cramer's phi. Against 10 5 14 No Opinion 11 10 19 (a) Carry out the steps of hypothesis testing. Determine the null and research hypotheses. Choose the correct answer below. O A. The null hypothesis is that the community and a person's opinion are not independent. The research hypothesis is that the community and a person's opinion are independent. O B. The null hypothesis is that the percentage of people with each opinion is the same in each community. The research hypothesis is that the percentage of people with each opinion is different in at least one community. O C. The null hypothesis is that the community and a person's opinion are independent. The research hypothesis is that the community and a person's opinion are not independent. Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected. The cutoff sample score is (Round to three decimal places as needed.)Determine the ch isquare statistic. x2 = D [Round to three decimal places as needed.) Decide whether to reject the null hypothesis. Choose the correct answer below. 0 A. Do not reject the null hypothesis. The study is inconclusive. O B. Reject the null hypothesis. The research hypothesis that that community and a person's opinion are not independent is supported. 0 C. Do not reject the null hypothesis. The research hypothesis That that community and a person's opinion are not independent is supported. 0 D. Reject the null hypothesis. The study is inconclusive. (b) Figure the effect size. {It the value of phi does not appear in the eect size table, choose the effect size that corresponds to the table value closest to the value of phi.) Since the appropriate value of phi for these data is , the effect size is Y (Round to two decimal places as needed.)
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