A preliminary study regarding the number of AIDS cases reported for Santa Clara County, California is broken down by race in the table below. White Hispanic Black Race Asian/Pacific Islander Total Cases 25 11 9 3 48 Conduct a chi-square test for goodness-of-fit to determine whether or not the occurrence of AIDS cases is consistent with the race distribution of Santa Clara County. Choose the correct pull and alternative hypotheses

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
icon
Related questions
Question
▼ Part 1 of 4
A preliminary study regarding the number of AIDS cases reported for Santa Clara County, California is
broken down by race in the table below.
White
Hispanic
Black
Asian/Pacific Islander
Total
Race
White
Black
Conduct a chi-square test for goodness-of-fit to determine whether or not the occurrence of AIDS cases is
consistent with the race distribution of Santa Clara County.
Hispanic
Cases
Choose the correct null and alte ive hypotheses:
Ho: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County.
Ha: The distribution of AIDS cases is different from the race distribution in Santa Clara County.
Race
Total
25
O Ho: The distribution of AIDS cases is different from the race distribution in Santa Clara County.
Ha: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County.
Asian/Pacific Islander
11
9
The population distribution of Santa Clara County by race is provided in the table below. Use these
percentages to compute the expected number of cases for each racial group. Round your answers to three
decimal places, if necessary.
What is the test statistic?
3
48
Proportion
0.409
0.273
0.027
0.291
1
Part 2 of 4
Expected cases
Transcribed Image Text:▼ Part 1 of 4 A preliminary study regarding the number of AIDS cases reported for Santa Clara County, California is broken down by race in the table below. White Hispanic Black Asian/Pacific Islander Total Race White Black Conduct a chi-square test for goodness-of-fit to determine whether or not the occurrence of AIDS cases is consistent with the race distribution of Santa Clara County. Hispanic Cases Choose the correct null and alte ive hypotheses: Ho: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. Ha: The distribution of AIDS cases is different from the race distribution in Santa Clara County. Race Total 25 O Ho: The distribution of AIDS cases is different from the race distribution in Santa Clara County. Ha: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. Asian/Pacific Islander 11 9 The population distribution of Santa Clara County by race is provided in the table below. Use these percentages to compute the expected number of cases for each racial group. Round your answers to three decimal places, if necessary. What is the test statistic? 3 48 Proportion 0.409 0.273 0.027 0.291 1 Part 2 of 4 Expected cases
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,