Step 3: Find the p-value of the point estimate. First identify the ohserved andlexpected values
Step 3: Find the p-value of the point estimate. First identify the ohserved andlexpected values
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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
Transcribed Image Text:Step 1: State the null and alternative hypotheses.
Họ: The ethnic distribution of AIDS cases in the county is the same as the county's ethnic distribution in general. v
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 nulI 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
v degrees of freedom.
Part 3 of 4
Step 3: Find the p-value of the point estimate.
First identify the observed andlexpected values.
Observed and Expected Values
Observed Values (O)
Ethnicity
Expected Values (E)
White
1634
Black/African-American
1089
Asian, Pacific Islander
160
Hispanic
970
Now find the p-value.
P(x 2v
||

Transcribed Image Text: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
44.1%
Black/African-American
27.3%
Asian, Pacific Islander
4.5%
Hispanic
24.1%
There have been 3853 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
1634
Black/African-American
1089
Asian, Pacific Islander
160
Hispanic
970
Perform a goodness-of-fit test with a 6% 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. v
Hai The ethnic distribution of AIRS cases in the county is different from the county's ethnic distribution in general. V
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