A tax preparation firm is interested in comparing the quality of work at two of its regional offices. The observed frequencies showingthe number of sampled returns with errors and the number of sampled returns that were correct are as follows.Regional OfficeReturnOffice 1Office 2Error3327Correct212276a. What are the sample proportions of returns with errors at the two offices?Office 1Office 2P (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 thetwo 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 showsthat 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 answerWhat 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 theproportions for two populations, we generally prefer the z test statistic procedure. Comment on why the z test statistic provides theuser with more options for inferences about the proportions of two populations.Withpopulations, the test statistic x? will always equal 22.The - Select your answeris preferred because it allows for- Select your answertailed tests.The- Select your answer -is limited to- Select your answer - v tailed tests.

Given data Regional office Return office 1 office 2…

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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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