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From the following list of questions, choose the one question that most interests you. Copy the question you selected and paste it as your answer

From the following list of questions, choose the one question that most interests you. Copy the question you selected and paste it as your answer to 1) in the Prompt section below.

- For the population of Race IAT participants, is birth gender related to the participants' reported preference for Black people?

- For the population of Race IAT participants, is ethnicity related to the participants' reported preference for Black people?

- For the population of Race IAT participants, is birth-gender related to the participants' reported level of agreement/disagreement with the following statement? "If you want to make accurate predictions, you should use information about a person's ethnic group when deciding if they will perform well."

- For the population of Race IAT participants, is ethnicity related to the participants' reported level of agreement/disagreement with the following statement? "If you want to make accurate predictions, you should use information about a person's ethnic group when deciding if they will perform well." Prompt: Work through each of the following items to determine whether the categorical variables in your chosen question are related.

1. Which question are you investigating?

For the population of Race IAT participants, is birth gender related to the participants' reported preference for Black people? 2. What is the explanatory variable, and what is the response variable?

Explanatory variable: birth gender Response variable: the participants' reported preference for Black people 3. State the hypotheses in context (the variables should be clear in each hypothesis).

4. Use StatCrunch to find the observed counts, row percentages, and expected counts. Select the explanatory variable as the row variable and the response variable as the column variable. (directions - opens in a new tab). Copy and paste the contents of the StatCrunch output window into your response (copy everything - even the chi-square table). Provide a descriptive title above your table. Replace each numeric row label with the appropriate descriptive word(s). Replace each numeric column label with the appropriate descriptive word(s).

Contingency table results: Rows: Sample(Birth-Gender) Columns: Sample(Prefers)

Cell format
Count (Row percent) (Expected count)

Strongly prefers African Americans to European Americans Moderately prefers African Americans to European Americans Slightly prefers African Americans to European Americans Likes European Americans and African Americans equally Slightly prefers European Americans to African Americans Moderately prefers European Americans to African Americans Strongly prefers European Americans to African Americans Total
male 4 (1.75%) (4.89) 7 (3.07%) (8.79) 16 (7.02%) (14.98) 154 (67.54%) (152.11) 39 (17.11%) (36.81) 5 (2.19%) (7.82) 3 (1.32%) (2.61) 228 (100%)
female 11 (2.33%) (10.11) 20 (4.24%) (18.21) 30 (6.36%) (31.02) 313 (66.31%) (314.89) 74 (15.68%) (76.19) 19 (4.03%) (16.18) 5 (1.06%) (5.39) 472 (100%)
Total 15 (2.14%) 27 (3.86%) 46 (6.57%) 467 (66.71%) 113 (16.14%) 24 (3.43%) 8 (1.14%) 700 (100%)

Prefers: 1=Strongly prefers African Americans to European Americans; 2=Moderately prefers African Americans to European Americans; 3=Slightly prefers African Americans to European Americans; 4=Likes European Americans and African Americans equally; 5=Slightly prefers European Americans to African Americans; 6=Moderately prefers European Americans to African Americans; 7=Strongly prefers European Americans to African Americans 5. Interpret the expected counts for each response in the 3rd column of your table. No need to show how the expected counts were calculated, but each interpretation should include a relevant percentage.

6. Determine whether conditions are met to use the chi-square test of independence. For each condition explain why the condition is met or not met.

7. Chi-square test of independence: Chi-Square test:

Statistic DF Value P-value
Chi-square 6 2.7064891 0.8447

  • If conditions are met, use the StatCrunch chi-square output (included with your contingency table above) to state your conclusion in context.
  • If conditions are not met, select a different question where conditions are met, and start over. Delete your original work, and repeat all steps above.

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