Homework Help is Here – Start Your Trial Now!
Math
Statistics
study was conducted to verify the age distribution among residents in suburban areas. There were k = 6 age groups selected for this study. The observed frequencies and theoretical proportions under the null hypothesis are shown in the table below. Age Group Under 20 [20, 30) [30, 40) [40, 50) [50, 65) 65 and Above Total Frequency 132 148 224 62 188 Proportions 0.15 0.20 0.25 0.10 0.25 0.05 007 08 0h 007 091 011 008 1. Determine all counts expected under the null hypothesis and place them into the table above 2. Evaluate the test statistic Solution (224-200)2 091 (46-40) 0.9 24,05 22-200)? 20,22

study was conducted to verify the age distribution among residents in suburban areas. There were k = 6 age groups selected for this study. The observed frequencies and theoretical proportions under the null hypothesis are shown in the table below. Age Group Under 20 [20, 30) [30, 40) [40, 50) [50, 65) 65 and Above Total Frequency 132 148 224 62 188 Proportions 0.15 0.20 0.25 0.10 0.25 0.05 007 08 0h 007 091 011 008 1. Determine all counts expected under the null hypothesis and place them into the table above 2. Evaluate the test statistic Solution (224-200)2 091 (46-40) 0.9 24,05 22-200)? 20,22

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Demographic study was conducted to verify the age distribution among residents in suburban areas. There were k = 6 age groups selected for this study. The observed frequencies and theoretical proportions under the null hypothesis are shown in the table below. Age Group Under 20 [20, 30) [30, 40) [40, 50) [50, 65) 65 and Above Total Frequency 132 148 224 62 188 Proportions 0.15 0.20 0.25 0.10 0.25 0.05 008 007. 08 EXPECTED 007 091 1. Determine all counts expected under the null hypothesis and place them into the table above 2. Evaluate the test statistic १/०ग -h00) 2 2.88 Solution 091 162-80)4.05 200)2 20,22 (46-40) 0.9
Transcribed Image Text:Demographic study was conducted to verify the age distribution among residents in suburban areas. There were k = 6 age groups selected for this study. The observed frequencies and theoretical proportions under the null hypothesis are shown in the table below. Age Group Under 20 [20, 30) [30, 40) [40, 50) [50, 65) 65 and Above Total Frequency 132 148 224 62 188 Proportions 0.15 0.20 0.25 0.10 0.25 0.05 008 007. 08 EXPECTED 007 091 1. Determine all counts expected under the null hypothesis and place them into the table above 2. Evaluate the test statistic १/०ग -h00) 2 2.88 Solution 091 162-80)4.05 200)2 20,22 (46-40) 0.9
Use summaries obtained from the study described in the previous problem. Conduct a goodness-of-fit test and provide detailed explanations for your decision in each case 1. At the significance level a = 0.05, do you have evidence that the true distribution would deviate from the hypothetical one? • Show the critical value • Formulate the rejection rule • State your decision 2. Repeat this procedure at the significance level a = 0.10 • Show the critical value • Formulate the rejection rule • State your decision Solution 8
Transcribed Image Text:Use summaries obtained from the study described in the previous problem. Conduct a goodness-of-fit test and provide detailed explanations for your decision in each case 1. At the significance level a = 0.05, do you have evidence that the true distribution would deviate from the hypothetical one? • Show the critical value • Formulate the rejection rule • State your decision 2. Repeat this procedure at the significance level a = 0.10 • Show the critical value • Formulate the rejection rule • State your decision Solution 8
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS