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(14 points) Minority Models ~ Negative stereotypical depiction of minorities or their exclusion from advertisements in mainstream media has been found to have harmful social effects. Researchers are interested in answering the following question: Is the proportion of magazine advertisements portraying each racial group different from its proportion of the U.S. population? The observed data in the table below is consistent with data collected from an analysis of magazine advertisements from 1993 and 1994. The table summarizes the frequency of the appearance of models in a total of 1559 advertisements. The population distribution values were taken from the 1990 census data. African Asian Hispanic White Americans Americans Americans Americans 1990 Census data (94.) 3.3% 75.6% Observed Data 182 71 75 1231 Round all calculated values to 4 decimal places where appropriate. 1. Select the phrases to complete the null and alternative hypotheses for this research situation. H0: The proportion of magazine advertisements portraying each racial group is' ? v' its proportion of the U.S. population. H A: The proportion of magazine advertisements portraying each racial group is ' 7 v 'its proportion of the U.S. population. 2. What type of test should the researchers use? QA. t-test for a sample mean 0 B. t-test for the slope of the regression line 0 C. Z-test for one population proportion O D. 12 test of independence 0 E. [2 goodness of fit test 3. Which of the following conditions must be met for the hypothesis test to be valid? Select all that apply. :]A. The sample size must be at least 30 or the population data must be normally distributed. :] B. There must be at least 3 levels of the categorical variable. :] C. Each case in the table must be independent of all other cases. :] D. There must be at least 10 \"success" and 10 "failure" observations. :] E. There must be an expected count of at least 5 for each level of the categorical variable. 4. What is the degrees of freedom for this test? 5. Under the null hypothesis model, what is the expected count for Asian Americans? 6. Calculate the contribution to the test statistic for Asian Americans: 7. Calculate the test statistic for this procedure. x2= 8. Based on the test statistic, calculate the p-value. p-value = 9. The results of this test indicate that we have ? v evidence against the null hypothesis