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...

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	35	28
Correct	217	274

Extracted 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 35 28 Correct 217 274 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 Ho : Pi = 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. x² = (to 3 decimals) The p-value is - Select your answer - What is your conclusion? Cannot conclude 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 z2. The chi-square test v is preferred because it allows for two v tailed tests. The z-test is limited to one v tailed tests.