Homework Help is Here – Start Your Trial Now!
Math
Statistics
A tax preparation firm is interested in comparing the quality of work at two of its regional offices. The observed frequencies showing the number of sampled returns with errors and the number of sampled returns that were correct are as follows. Regional Office Return Office 1 Office 2 Error 33 27 Correct 212 276

A tax preparation firm is interested in comparing the quality of work at two of its regional offices. The observed frequencies showing the number of sampled returns with errors and the number of sampled returns that were correct are as follows. Regional Office Return Office 1 Office 2 Error 33 27 Correct 212 276

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
A tax preparation firm is interested in comparing the quality of work at two of its regional offices. The observed frequencies showing the number of sampled returns with errors and the number of sampled returns that were correct are as follows. Regional Office Return Office 1 Office 2 Error 33 27 Correct 212 276 a. What are the sample proportions of returns with errors at the two offices? Office 1 Office 2 P (to 2 decimals) b. Use the chi-square test procedure to see if there is a significant difference between the population proportion of error rates for the two offices. Test the null hypothesis H, : P1 = P2 with a .10 level of significance. What is the p-value? Note: We generally use the chi-square test of equal proportions when there are three or more populations, but this example shows that the same chi-square test can be used for testing equal proportions with two populations. x' =| |(to 3 decimals) The p-value is - Select your answer What is your conclusion? Select your answer - that the two offices do not have the same population proportion error rates. c. A x? test statistic or a z test statistic may be used to test the hypothesis. However, when we want to make inferences about the proportions for two populations, we generally prefer the z test statistic procedure. Comment on why the z test statistic provides the user with more options for inferences about the proportions of two populations. With populations, the test statistic x? will always equal 22. The - Select your answer is preferred because it allows for- Select your answer tailed tests. The - Select your answer - is limited to - Select your answer - v tailed tests.
Transcribed Image Text:A tax preparation firm is interested in comparing the quality of work at two of its regional offices. The observed frequencies showing the number of sampled returns with errors and the number of sampled returns that were correct are as follows. Regional Office Return Office 1 Office 2 Error 33 27 Correct 212 276 a. What are the sample proportions of returns with errors at the two offices? Office 1 Office 2 P (to 2 decimals) b. Use the chi-square test procedure to see if there is a significant difference between the population proportion of error rates for the two offices. Test the null hypothesis H, : P1 = P2 with a .10 level of significance. What is the p-value? Note: We generally use the chi-square test of equal proportions when there are three or more populations, but this example shows that the same chi-square test can be used for testing equal proportions with two populations. x' =| |(to 3 decimals) The p-value is - Select your answer What is your conclusion? Select your answer - that the two offices do not have the same population proportion error rates. c. A x? test statistic or a z test statistic may be used to test the hypothesis. However, when we want to make inferences about the proportions for two populations, we generally prefer the z test statistic procedure. Comment on why the z test statistic provides the user with more options for inferences about the proportions of two populations. With populations, the test statistic x? will always equal 22. The - Select your answer is preferred because it allows for- Select your answer tailed tests. The - Select your answer - is limited to - Select your answer - v tailed tests.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

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