The percentage of each ethnic group in a certain county is as in the following table. Ethnic Breakdown of County Ethnicity White Black/African-American Asian, Pacific Islander Hispanic Percent of Total County Population There have been 2340 reported cases of AIDS in the county. The cumulative number of AIDS cases reported for the county is broken down by ethnicity in the following table. Number of AIDS cases in the county by ethnicity Ethnicity Number of AIDS cases 1040 555 291 454 White Black/African-American Asian, Pacific Islander Hispanic 46.3% 22.3% 13.3% 18.1% Perform a goodness-of-fit test with a 8% level of significance to determine whether the occurrence of AIDS cases follows the distribution of ethnicities of the general population in the county. Step 1: State the null and alternative hypotheses. Ho: The ethnic distribution of AIDS cases in the county is the same as the county's ethnic distribution in general. ✓ Ha: The ethnic distribution of AIDS cases in the county is different from the county's ethnic distribution in general. ✓✓ Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution used to perform the goodness-of-fit test. To perform a goodness-of-fit test for this problem, use a Select an answer distribution with degrees of freedom.
The percentage of each ethnic group in a certain county is as in the following table. Ethnic Breakdown of County Ethnicity White Black/African-American Asian, Pacific Islander Hispanic Percent of Total County Population There have been 2340 reported cases of AIDS in the county. The cumulative number of AIDS cases reported for the county is broken down by ethnicity in the following table. Number of AIDS cases in the county by ethnicity Ethnicity Number of AIDS cases 1040 555 291 454 White Black/African-American Asian, Pacific Islander Hispanic 46.3% 22.3% 13.3% 18.1% Perform a goodness-of-fit test with a 8% level of significance to determine whether the occurrence of AIDS cases follows the distribution of ethnicities of the general population in the county. Step 1: State the null and alternative hypotheses. Ho: The ethnic distribution of AIDS cases in the county is the same as the county's ethnic distribution in general. ✓ Ha: The ethnic distribution of AIDS cases in the county is different from the county's ethnic distribution in general. ✓✓ Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution used to perform the goodness-of-fit test. To perform a goodness-of-fit test for this problem, use a Select an answer distribution with degrees of freedom.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:### Statistical Analysis of AIDS Cases by Ethnicity
**Overview:**
This educational material provides a breakdown of AIDS cases within a specific county by ethnic group. It includes both the number of reported AIDS cases and the percentage of the total population for each ethnicity.
**Data Table:**
| **Ethnicity** | **Percent of Total County Population** | **Number of AIDS Cases** |
|-----------------------------|---------------------------------------|--------------------------|
| White | 46.3% | 1040 |
| Black/African American | 22.3% | 914 |
| Asian, Pacific Islander | 13.3% | 291 |
| Hispanic | 18.1% | 454 |
**Analysis Steps:**
**Step 1: State the Null and Alternative Hypotheses**
- **Null Hypothesis:** The ethnic distribution of AIDS cases in the county is the same as the county's ethnic distribution in general.
- **Alternative Hypothesis:** The ethnic distribution of AIDS cases in the county differs from the county's ethnic distribution in general.
**Step 2: Perform a Goodness-of-Fit Test**
- To determine if the occurrence of AIDS cases follows the distribution of ethnicities in the general population, perform a goodness-of-fit test with an 8% level of significance.
- Use the features of the specific distribution, including degrees of freedom, to complete the test and analyze the results.
By analyzing the provided data with these statistical methods, we can assess whether there's a significant deviation in the distribution of AIDS cases across different ethnic groups compared to their overall population percentages in the county.
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