Question: The State Health Department where you work has recently received a number of complaints from citizens who live in the more rural parts of the state. They claim that those who live in the state’s urban centers have access to higher quality medical care, so more funds should be devoted to improving care elsewhere. To determine if quality of care differs across various levels of urbanicity, you collect data on 3,500 medical facilities across the state. Each facility is classified as either rural, suburban, or urban. Using a standard scale to assess quality of medical care, you classify the care being offered at each facility as either low, medium, or high quality. Assume .

1. Given these data, what type of statistical test should you use?
2. State the null and alternative hypotheses to test the claim that quality of medical care differs according to an area’s degree of urbanicity. Make sure you define any variables that you use. It is not sufficient to just use Greek letters without defining them!
3. Write the formula you would use to convert the data to the appropriate test statistic. Calculate the degrees of freedom for this test statistic. You do not need to compute the test statistic.
4. Assume the test statistic is equal to 8.23. Compare this test statistic to the critical value of the appropriate known distribution and calculate the corresponding p-value range (based on the Sullivan table). Based on this, will you reject or fail to reject the null hypothesis?
5. Interpret your findings in the context of the study using a 5% level of significance.

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