1. Select the phrases to complete the null and alternative hypotheses for this research situation. Họ: The proportion of magazine advertisements portraying each racial group is ? HA: The proportion of magazine advertisements portraying each racial group ist v? the same as 2. What type of test should the researchers use? higher than DA. t-test for a sample mean OB. t-test for the slope of the regression line OC. x² goodness of fit test DD. x² test of independence DE. Z-test for one population proportion lower than different from 3. Which of the following conditions must be met for the hypothesis test to be valid? Select all that apply.

MATLAB: An Introduction with Applications
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**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 1527 advertisements.

The population distribution values were taken from the 1990 census data.

|                               | African Americans | Asian Americans | Hispanic Americans | White Americans |
|-------------------------------|-------------------|-----------------|-------------------|-----------------|
| **1990 Census data (%)**      | 12.1%             | 3.3%            | 9.0%              | 75.6%           |
| **Observed Data**             | 151               | 74              | 80                | 1222            |

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.**

\[ H_0: \] The proportion of magazine advertisements portraying each racial group is \[ \boxed{\text{the same as}} \] its proportion of the U.S. population.

\[ H_A: \] The proportion of magazine advertisements portraying each racial group is \[ \boxed{\text{different from}} \] its proportion of the U.S. population.

**2. What type of test should the researchers use?**

- \[  \] A. t-test for a sample mean
- \[  \boxed{{\rm B.}} \] t-test for the slope of the regression line 
- \[  \] C. \(\chi^2\) goodness of fit test 
- \[  \] D. \(\chi^2\) test of independence
- \[  \] E. z-test for one population proportion

**3. Which of the following conditions must be met for the hypothesis test to be valid? Select all that apply.**

- \[  \] A. There must be at least 10 "success" and 10 "failure" observations.
- \[  \] B. There must be an expected count of at least 5 for each level of
Transcribed Image Text:**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 1527 advertisements. The population distribution values were taken from the 1990 census data. | | African Americans | Asian Americans | Hispanic Americans | White Americans | |-------------------------------|-------------------|-----------------|-------------------|-----------------| | **1990 Census data (%)** | 12.1% | 3.3% | 9.0% | 75.6% | | **Observed Data** | 151 | 74 | 80 | 1222 | 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.** \[ H_0: \] The proportion of magazine advertisements portraying each racial group is \[ \boxed{\text{the same as}} \] its proportion of the U.S. population. \[ H_A: \] The proportion of magazine advertisements portraying each racial group is \[ \boxed{\text{different from}} \] its proportion of the U.S. population. **2. What type of test should the researchers use?** - \[ \] A. t-test for a sample mean - \[ \boxed{{\rm B.}} \] t-test for the slope of the regression line - \[ \] C. \(\chi^2\) goodness of fit test - \[ \] D. \(\chi^2\) test of independence - \[ \] E. z-test for one population proportion **3. Which of the following conditions must be met for the hypothesis test to be valid? Select all that apply.** - \[ \] A. There must be at least 10 "success" and 10 "failure" observations. - \[ \] B. There must be an expected count of at least 5 for each level of
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