A town manager is interested in comparing requests for various town-provided services (such as street maintenance and garbage pickup) with nationally published proportions of requests for the same services. Each request in a random sample of 500 service requests from the town was classified into one of 10 different categories. Which of the following tests could be used to determine whether the proportions of service requests classified into the 10 service categories for the town differ from national proportions?
A. A two-sample t-test for a difference of means
B. A matched-pairs t-test for means
C. A chi-square test of association
D. A chi-square goodness-of-fit test
E. A t-test for a correlation of proportions

Based on the scenario being described within the question it can be said that the test that would help determine this would be a Chi-Square goodness of fit test. This is a test that has been designed with the main goal of calculating how the observed value of a phenomena is vastly different from the value that was expected from that phenomena. Which is what needs to be determined in this scenario with the samples.

andromache andromache · Answer 2 · 2022-03-25T15:15:50+01:00

The test that should be determined in the case when the proportions of service requests classified so it should be option D.

What is A chi-square goodness-of-fit test?

It is a test that should been designed having the goal for determining how the observed value of a phenomenon should be majorly distinct from the value that should be expected from the phenomenon that required to be measured the scenario.

So based on this, we can say that the option d is correct.

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