A tax preparation firm is interested in comparing the quality of work at two of its regional offices. The observed frequ

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A tax preparation firm is interested in comparing the quality ofwork at two of its regional offices. The observed frequenciesshowing the number of sampled returns with errors and the number ofsampled returns that were correct are as follows.
a. What are the sample proportions ofreturns with errors at the two offices?
b. Use the chi-square test procedure tosee if there is a significant difference between the populationproportion of error rates for the two offices. Test the nullhypothesis with a level of significance. Whatis the -value?
Note: We generally use the chi-square test ofequal proportions when there are three or more populations, butthis example shows that the same chi-square test can be used fortesting equal proportions with two populations.
(to 3 decimals)
The -value is - Select your answer -less than.01between .01 and .025between .025 and .05between .05 and.10greater than .10Item 4
What is your conclusion?
- Select your answer -Cannot concludeConcludeItem 5 thatthe two offices do not have the same population proportion errorrates.
c. A test statistic ora test statistic may be used to test the hypothesis.However, when we want to make inferences about the proportions fortwo populations, we generally prefer the test statisticprocedure. Comment on why the test statistic providesthe user with more options for inferences about the proportions oftwo populations.
With populations, the test statistic willalways equal .
The - Select your answer -chi-square testz-testItem7 is preferred because it allows for - Select your answer-twooneItem 8 tailed tests.
The - Select your answer -z-testchi-square testItem9 is limited to - Select your answer -onetwoItem10 tailed tests.