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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 Number of AIDS cases in the county by ethnicity Ethnicity Number of AIDS cases White There have been 2809 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. Black/African-American Asian, Pacific Islander Hispanic 45.3% 24.4% 14% 16.3% 1249 676 417 467 Y Part 1 of 4 Perform a goodness-of-fit test with a 7% 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.

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 Number of AIDS cases in the county by ethnicity Ethnicity Number of AIDS cases White There have been 2809 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. Black/African-American Asian, Pacific Islander Hispanic 45.3% 24.4% 14% 16.3% 1249 676 417 467 Y Part 1 of 4 Perform a goodness-of-fit test with a 7% 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The image contains information regarding the ethnic distribution of a county and reported AIDS cases in that county. The data is presented in tables and is followed by instructions for performing a statistical analysis. ### Ethnic Breakdown of County | Ethnicity | Percent of Total County Population | |---------------------------|------------------------------------| | White | 45.3% | | Black/African-American | 24.4% | | Asian, Pacific Islander | 14% | | Hispanic | 16.3% | ### AIDS Cases by Ethnicity There have been 2809 reported cases of AIDS in the county. The distribution of these cases by ethnicity is shown below: | Ethnicity | Number of AIDS Cases | |---------------------------|----------------------| | White | 1249 | | Black/African-American | 676 | | Asian, Pacific Islander | 417 | | Hispanic | 467 | ### Statistical Analysis Instructions Perform a goodness-of-fit test with a 7% level of significance to determine if 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. - **Null Hypothesis (H₀):** The ethnic distribution of AIDS cases in the county is the same as the county’s ethnic distribution in general. - **Alternative Hypothesis (H₁):** The ethnic distribution of AIDS cases in the county is different from the county’s ethnic distribution in general. #### 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 **chi-square** distribution with ( degrees of freedom). #### Step 3: Find the p-value of the point estimate. First, identify the observed and expected values. | Ethnicity | Observed Values (O) | Expected Values (E) | |---------------------------|---------------------|---------------------| | White | 1249 | | | Black/African-American | 676 | | | Asian, Pacific Islander | 417 | | | Hispanic | 467 | | Calculate the p-value using the chi-square distribution. Finally, enter and submit your results in the provided fields. - **P(X² >
Transcribed Image Text:The image contains information regarding the ethnic distribution of a county and reported AIDS cases in that county. The data is presented in tables and is followed by instructions for performing a statistical analysis. ### Ethnic Breakdown of County | Ethnicity | Percent of Total County Population | |---------------------------|------------------------------------| | White | 45.3% | | Black/African-American | 24.4% | | Asian, Pacific Islander | 14% | | Hispanic | 16.3% | ### AIDS Cases by Ethnicity There have been 2809 reported cases of AIDS in the county. The distribution of these cases by ethnicity is shown below: | Ethnicity | Number of AIDS Cases | |---------------------------|----------------------| | White | 1249 | | Black/African-American | 676 | | Asian, Pacific Islander | 417 | | Hispanic | 467 | ### Statistical Analysis Instructions Perform a goodness-of-fit test with a 7% level of significance to determine if 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. - **Null Hypothesis (H₀):** The ethnic distribution of AIDS cases in the county is the same as the county’s ethnic distribution in general. - **Alternative Hypothesis (H₁):** The ethnic distribution of AIDS cases in the county is different from the county’s ethnic distribution in general. #### 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 **chi-square** distribution with ( degrees of freedom). #### Step 3: Find the p-value of the point estimate. First, identify the observed and expected values. | Ethnicity | Observed Values (O) | Expected Values (E) | |---------------------------|---------------------|---------------------| | White | 1249 | | | Black/African-American | 676 | | | Asian, Pacific Islander | 417 | | | Hispanic | 467 | | Calculate the p-value using the chi-square distribution. Finally, enter and submit your results in the provided fields. - **P(X² >
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