Ethnicity Ethnic Breakdown of County 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 A 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 White 46.3% 22.3% 13.3% 18.1%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 8PPS
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Question
**************
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
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
White
Black/African-American
Asian, Pacific Islander
Hispanic
Percent of Total County Population
Ethnicity
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. V
H₂:
The ethnic distribution of AIDS cases in the county is different from the county's ethnic distribution in general. ✓
Y 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.
Step 3: Find the p-value of the point estimate.
First identify the observed and expected values.
1040
555
291
454
To perform a goodness-of-fit test for this problem, use a chi-square
3
✓degrees of freedom.
46.3%
22.3%
13.3%
18.1%
White
Observed and Expected Values
Black/African-American
Asian, Pacific Islander
Hispanic
Observed Values (O) Expected Values (E)
distribution with
Part 3 of 4
Transcribed Image Text:************** 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 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 White Black/African-American Asian, Pacific Islander Hispanic Percent of Total County Population Ethnicity 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. V H₂: The ethnic distribution of AIDS cases in the county is different from the county's ethnic distribution in general. ✓ Y 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. Step 3: Find the p-value of the point estimate. First identify the observed and expected values. 1040 555 291 454 To perform a goodness-of-fit test for this problem, use a chi-square 3 ✓degrees of freedom. 46.3% 22.3% 13.3% 18.1% White Observed and Expected Values Black/African-American Asian, Pacific Islander Hispanic Observed Values (O) Expected Values (E) distribution with Part 3 of 4
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