Step 3: Find the p-value of the point estimate. First identify the observed and expected values. Observed and Expected Values Ethnicity Observed Values (O) Expected Values (E) White Black/African-American Asian, Pacific Islander Hispanic Now find the p-value. P(x ?v
Step 3: Find the p-value of the point estimate. First identify the observed and expected values. Observed and Expected Values Ethnicity Observed Values (O) Expected Values (E) White Black/African-American Asian, Pacific Islander Hispanic Now find the p-value. P(x ?v
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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
Transcribed Image Text: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. v
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 chi-square
distribution with
degrees of freedom.
Part 3 of 4
Step 3: Find the p-value of the point estimate.
First identify the observed and expected values.
Observed and Expected Values
Ethnicity
Observed Values (O) | Expected Values (E)
White
Black/African-American
Asian, Pacific Islander
Hispanic
Now find the p-value.
P(x ?

Transcribed Image Text:Part 1 of 4
The percentage of each ethnic group in a certain county is as in the following table.
Ethnic Breakdown of County
Ethnicity
Percent of Total County Population
White
42.5%
Black/African-American
26.6%
Asian, Pacific Islander
3.4%
Hispanic
27.5%
There have been 5054 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
White
2078
Black/African-American
1386
Asian, Pacific Islander
163
Hispanic
1427
Perform a goodness-of-fit test with a 5% 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. v
Part 2 of 4
Step 2: Assuming the null hynothesis is true determine the features of the distribution used
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