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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:**A Preliminary Study on AIDS Cases in Santa Clara County, California**
**Race Distribution of AIDS Cases:**
- **White:** 25 cases
- **Hispanic:** 11 cases
- **Black:** 9 cases
- **Asian/Pacific Islander:** 3 cases
- **Total:** 48 cases
**Objective:**
Conduct a chi-square test for goodness-of-fit to determine if the occurrence of AIDS cases is consistent with the race distribution of Santa Clara County.
**Hypotheses:**
- **\( H_0 \):** The distribution of AIDS cases is consistent with the race distribution in Santa Clara County.
- **\( H_a \):** The distribution of AIDS cases is different from the race distribution in Santa Clara County.
**Population Distribution in Santa Clara County (Proportion and Expected Cases):**
- **White:**
- Proportion: 0.409
- Expected Cases: (To be calculated)
- **Hispanic:**
- Proportion: 0.273
- Expected Cases: (To be calculated)
- **Black:**
- Proportion: 0.027
- Expected Cases: (To be calculated)
- **Asian/Pacific Islander:**
- Proportion: 0.291
- Expected Cases: (To be calculated)
- **Total:**
- Proportion: 1
- Expected Cases: (Sum should equal 48)
**Question:**
Calculate the test statistic using the chi-square formula, and evaluate the consistency between the observed and expected distributions.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 4 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman