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
icon
Related questions
Question
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: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 ||
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
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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman