Chi-Square – Extra Credit Policy makers are interested in examining the impact of race/ethnicity on attitudes toward the death penalty. Use the data below to establish hypotheses and test them using a...

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Chi-Square – Extra Credit Policy makers are interested in examining the impact of race/ethnicity on attitudes toward the death penalty. Use the data below to establish hypotheses and test them using a chi-square test. State the decision with regard to whether the H0 is ultimately rejected or accepted. Attitudes Toward Death Penalty Black White Hispanic Favorable 20 85 40 Unfavorable 84 11 101 Neutral 20 23 26 Step 1: State the Ho and the H1. H0 = H1 = Step 2: Identify the distribution and compute the df. distribution = df = Step 3: Identify the critical value of the test statistic and state the decision rule. α = .05 critical value = decision rule = Step 4: Compute the obtained value of the test statistic Expected Values Black White Hispanic Row Marginal Favorable Attitudes 145 Unfavorable Attitudes 196 Neutral Attitudes 69 Column Marginal 124 119 167 N = 410 Observed Values Black White Hispanic Row Marginal Favorable Attitudes 20 85 40 145 Unfavorable Attitudes 84 11 101 196 Neutral Attitudes 20 23 26 69 Column Marginal 124 119 167 N = 410 Cell Fav. and Black Fav. and White Fav. and Hispanic Unfav. and Black Unfav. and White Unfav. and Hispanic Neutral and Black Neutral and White Neutral and Hispanic N = N = ∑ = 0 ∑ = Step 5: Make a decision about the null and state the substantive conclusion. It was stated that the null would be rejected if the obtained value of the test statistic exceeded _________. The obtained value turned out to be _________, so we will therefore __________ the null hypothesis that there is no relationship between race/ethnicity and attitudes toward the death penalty. Step 6: Determine the measure of association using Cramer’s V. (See the formula on p. 235.) i e f   ii oe ff - 2 ( ) ii oe ff - 2 ( ) ii i oe e ff f - i o f